MCQ 2011 Mark
The height of a cylinder whose radius is $7 \mathrm{cm}$ and the total surface area i$968\mathrm{cm}^{2}$ is:
- ✓
$15 \mathrm{cm}$
- B
$17 \mathrm{cm}$
- C
$19 \mathrm{cm}$
- D
$21 \mathrm{cm}$
AnswerCorrect option: A. $15 \mathrm{cm}$
a
Total surface area $=2 \pi r(h+r)$
$968=2 \times 22 / 7 \times 7(7+h)$
$h=15 \mathrm{cm}$
View full question & answer→MCQ 2021 Mark
If a cuboidal box has height, length and width as $20 \mathrm{cm}, 15 \mathrm{cm}$ and $10 \mathrm{cm}$ respectively. Then its total surface area is:
- A
$1100 \mathrm{cm}^{2}$
- B
$1200 \mathrm{cm}^{2}$
- ✓
$1300 \mathrm{cm}^{2}$
- D
$1400 \mathrm{cm}^{2}$
AnswerCorrect option: C. $1300 \mathrm{cm}^{2}$
c
Total surface area $=2(20 \times 15+20 \times 10+10 \times 15)$
$\mathrm{TSA}=2(300+200+150)=1300 \mathrm{cm}^{2}$
View full question & answer→MCQ 2031 Mark
A cylindrical box has ____ curved surface and ____ circular faces, which are identical.
Answerb
A cylindrical box having circular bases have identical top. One curved surface and two circular faces which are identical.
View full question & answer→MCQ 2041 Mark
All six faces of a cube are:
Answera
All six faces are squares and identical
View full question & answer→MCQ 2051 Mark
A cuboid has ______ pairs of identical faces.
AnswerAll six faces are rectangular, and opposites faces are identical. So there are three pairs of identical faces.
View full question & answer→MCQ 2061 Mark
The area of a rhombus is $240 \mathrm{cm}^{2}$ and one of the diagonals is $16 \mathrm{cm}$. Find the other diagonal.
- A
$16 \mathrm{cm}$
- B
$20 \mathrm{cm}$
- ✓
$30 \mathrm{cm}$
- D
$36 \mathrm{cm}$
AnswerCorrect option: C. $30 \mathrm{cm}$
c
Area $=240 \mathrm{cm}^{2}$
$\mathrm{d}_{1}=16 \mathrm{cm}$
Area of rhombus $=1 / 2 \mathrm{d}_{1} \times \mathrm{d}_{2}$
$240=1 / 2 \times 16 \times \mathrm{d}_{2}$
$\mathrm{d}_{2}=480 / 16=30 \mathrm{cm}$
View full question & answer→MCQ 2071 Mark
The area of a trapezium is $480 \mathrm{~cm}^{2}$, the distance between two$15 \mathrm{~cm}$ and one of the parallel side is $20 \mathrm{~cm}$The other parallel side is:
- A
$20 \mathrm{cm}$
- B
$34 \mathrm{cm}$
- ✓
$44 \mathrm{cm}$
- D
$50 \mathrm{cm}$
AnswerCorrect option: C. $44 \mathrm{cm}$
c
Area of trapezium $=1 / 2 \mathrm{h}(\mathrm{a}+\mathrm{b})$
$\mathrm{a}=20 \mathrm{cm}, \mathrm{h}=15 \mathrm{cm},$ Area $=480 \mathrm{sq} \cdot \mathrm{cm}$
$480=1 / 2(15)(20+\mathrm{b})$
$20+\mathrm{b}=(480 \times 2) / 15$
$20+\mathrm{b}=64$
$\mathrm{b}=44 \mathrm{cm}$
View full question & answer→MCQ 2081 Mark
The area of a rhombus whose diagonals are of lengths $10 \mathrm{cm}$ and $8.2 \mathrm{cm}$ is:
- ✓
$41 \mathrm{cm}^{2}$
- B
$82 \mathrm{cm}^{2}$
- C
$410 \mathrm{cm}^{2}$
- D
$820 \mathrm{cm}^{2}$
AnswerCorrect option: A. $41 \mathrm{cm}^{2}$
a
Area of rhombus $=1 / 2 \mathrm{d}_{1} \mathrm{d}_{2}$
$\mathrm{A}=1 / 2 \times 10 \times 8.2$
$\mathrm{A}=41 \mathrm{cm}^{2}$
View full question & answer→MCQ 2091 Mark
If the length and breadth of a rectangle are $10\ cm$ and $5\ cm,$ respectively, then its area is:
- A
$100\ sq.cm$
- ✓
$150\ sq.cm$
- C
$115\ sq.cm$
- D
$200\ sq.cm$
AnswerCorrect option: B. $150\ sq.cm$
Length $=10 \mathrm{cm}$
And breadth $=5 \mathrm{cm}$
Area of rectangle $=$ Lenght $x$ breadth $=10 \times 5$
$=150 \mathrm{cm}^{2}$
View full question & answer→MCQ 2101 Mark
The base radius and height of a right cir cular cylinder are $5 \mathrm{cm}$ and $10 \mathrm{cm}$. Its total surface area is
AnswerCorrect option: A. $150 \pi \mathrm{cm}^{2}$
a
Hint:
Total surface area $=2 \pi r(h+r)$
$=2 \pi 5(10+5)=150 \pi \mathrm{cm}^{2}$
View full question & answer→MCQ 2111 Mark
A glass in the form of a right circular cylinder is half full of water. Its base radius is $3 \mathrm{cm}$ and height is $8 \mathrm{cm}$. The volume of water is
- A
$18 \pi \mathrm{cm}^{3}$
- ✓
$36 \pi \mathrm{cm}^{3}$
- C
$9 \pi \mathrm{cm}^{3}$
- D
$36 \mathrm{cm}^{3}$
AnswerCorrect option: B. $36 \pi \mathrm{cm}^{3}$
b
Volume $=\frac{1}{2} \pi \times 3 \times 3 \times 8=36 \pi \mathrm{cm}^{3}$
View full question & answer→MCQ 2121 Mark
The ratio of the radii of two right circular cylinders is $1 : 2$ and the ratio of their heights is $4 : 1.$ The ratio of their volumes is
- ✓
$1 : 1$
- B
$1 : 2$
- C
$2 : 1$
- D
$4 : 1$
AnswerCorrect option: A. $1 : 1$
$\frac{r_{1}}{r_{2}}=\frac{\pi(1)^{2} 4}{\pi(2)^{2} 1}=1: 1$
View full question & answer→MCQ 2131 Mark
The heights of two right circular cylinders are the same. Their volumes are respectively $16π\ m^3$ and $81π\ m^3.$ The ratio of their base radii is
- A
$16 : 81$
- ✓
$4 : 9$
- C
$2 : 3$
- D
$9 : 4$
AnswerCorrect option: B. $4 : 9$
$\frac{\pi r_{1}^{2} h}{\pi r_{2}^{2} h}=\frac{16 \pi}{81 \pi} \Rightarrow \frac{r_{1}}{r_{2}}=\frac{4}{9}$
View full question & answer→MCQ 2141 Mark
The base radius and height of a right circular cylinder are $14 \mathrm{cm}$ and $5 \mathrm{cm}$ respectively. Its curved surface is
AnswerCorrect option: B. $440 \mathrm{cm}^{2}$
b
Curved surface $=2 \times \frac{22}{7} \times 14 \times 5$
$=440 \mathrm{cm}^{2}$
View full question & answer→MCQ 2151 Mark
The floor of a room is a square of side $6 \mathrm{m}$. Its height is $4 \mathrm{m}$. The volume of the room is
- A
$140 \mathrm{m}^{3}$
- B
$142 \mathrm{m}^{3}$
- ✓
$144 \mathrm{m}^{3}$
- D
$145 \mathrm{m}^{3}$
AnswerCorrect option: C. $144 \mathrm{m}^{3}$
c
Volume $=6 \times 6 \times 4=144 \mathrm{m}^{3}$.
View full question & answer→MCQ 2161 Mark
The volume of a room is $80 \mathrm{m}^{3}$. The area of the floor is $20 \mathrm{m}^{2}$. The height of the room is
- A
$1 \mathrm{m}$
- B
$2 \mathrm{m}$
- C
$3 \mathrm{m}$
- ✓
$4 \mathrm{m}$
AnswerCorrect option: D. $4 \mathrm{m}$
d
Height $=\frac{80}{20}=4 \mathrm{m}$
View full question & answer→MCQ 2171 Mark
If the height of a cuboid becomes zero, it will take the shape of a
MCQ 2181 Mark
8 persons can stay in a cubical room. Each person requires $27 \mathrm{m}^{3}$ of air. The side of the cube is
- ✓
$6 \mathrm{m}$
- B
$4 \mathrm{m}$
- C
$3 \mathrm{m}$
- D
$2 \mathrm{m}$
AnswerCorrect option: A. $6 \mathrm{m}$
a
Volume $=8 \times 27=216 \mathrm{m}^{3}$
$\therefore$ side $=\sqrt[3]{216}=6 \mathrm{m}$
View full question & answer→MCQ 2191 Mark
The area of a trapezium is $40 \mathrm{cm}^{2}$. Its parallel sides are $12 \mathrm{cm}$ and $8 \mathrm{cm}$. The distance between the parallel sides is
- A
$1 \mathrm{cm}$
- B
$2 \mathrm{cm}$
- C
$3 \mathrm{cm}$
- ✓
$4 \mathrm{cm}$
AnswerCorrect option: D. $4 \mathrm{cm}$
View full question & answer→MCQ 2201 Mark
The area of a rhombus is $60\ cm^2.$ One diagonal is $10\ cm.$ The other diagonal is
- A
$6\ cm$
- ✓
$12\ cm$
- C
$3\ cm$
- D
$24\ cm$
AnswerCorrect option: B. $12\ cm$
$12\ cm$
View full question & answer→MCQ 2211 Mark
$1 \mathrm{m}^{3}=$
- A
$1 \mathrm{L}$
- ✓
$10 \mathrm{L}$
- C
$100 \mathrm{L}$
- D
$1000 \mathrm{L}$
AnswerCorrect option: B. $10 \mathrm{L}$
View full question & answer→MCQ 2221 Mark
$1 \mathrm{L}=$
- A
ia) $10 \mathrm{cm}^{3}$
- B
$100 \mathrm{cm}^{3}$
- ✓
$1000 \mathrm{cm}^{3}$
- D
$10000 \mathrm{cm}^{3}$
AnswerCorrect option: C. $1000 \mathrm{cm}^{3}$
View full question & answer→MCQ 2231 Mark
The volume of a cylinder of base radius $r$ and height $h$ is
- A
$2 \pi r h$
- ✓
$\pi r^{2} h$
- C
$2 \pi r(r+h)$
- D
$\frac{1}{3} \pi^{2} h$
AnswerCorrect option: B. $\pi r^{2} h$
View full question & answer→MCQ 2241 Mark
The volume of a cube of edge $a$ is
- A
$a^{2}$
- ✓
$a^{3}$
- C
$a^{4}$
- D
$6 a^{2}$
AnswerCorrect option: B. $a^{3}$
View full question & answer→MCQ 2251 Mark
The volume of a cuboid of length $1,$ breadth $\mathrm{b}$ and height $\mathrm{h}$ is
- ✓
$Ibh$
- B
$|b+b h+h|$
- C
$2(\mid b+b h+h l)$
- D
$2(1+b) h$
View full question & answer→MCQ 2261 Mark
The total surface area of a cylinder of base radius $r$ and height $h$ is
- ✓
$2 \pi r(r+h)$
- B
$\pi r(r+h)$
- C
$2 \pi r h$
- D
$2 \pi r^{2}$
AnswerCorrect option: A. $2 \pi r(r+h)$
View full question & answer→MCQ 2271 Mark
The surface area of a cube of edge a is
- A
$4 \mathrm{a}^{2}$
- ✓
$6 \mathrm{a}^{2}$
- C
$3 a^{2}$
- D
$a^{2}$
AnswerCorrect option: B. $6 \mathrm{a}^{2}$
View full question & answer→MCQ 2281 Mark
The surface area of a cuboid of length $I,$ breadth $b$ and height $\mathrm{h}$ is
AnswerCorrect option: C. $2(\mathrm{lb}+\mathrm{bh}+\mathrm{hl})$
$2(\mathrm{lb}+\mathrm{bh}+\mathrm{hl})$
View full question & answer→MCQ 2291 Mark
$1 \mathrm{cm}^{3}=$
AnswerCorrect option: A. $0.000001 \mathrm{m}^{3}$
$0.000001 \mathrm{m}^{3}$
View full question & answer→MCQ 2301 Mark
$1 \mathrm{mm}^{3}=$
- ✓
$0.001 \mathrm{cm}^{3}$
- B
$0.01 \mathrm{cm}^{3}$
- C
$0.1 \mathrm{cm}^{3}$
- D
$1000 \mathrm{cm}^{3}$
AnswerCorrect option: A. $0.001 \mathrm{cm}^{3}$
$0.001 \mathrm{cm}^{3}$
View full question & answer→MCQ 2311 Mark
$1 \mathrm{m}^{3}=$
AnswerCorrect option: A. $1000000 \mathrm{cm}^{3}$
$1000000 \mathrm{cm}^{3}$
View full question & answer→MCQ 2321 Mark
$1 \mathrm{cm}^{3}=$
AnswerCorrect option: A. $1000 \mathrm{mm}^{3}$
$1000 \mathrm{mm}^{3}$
View full question & answer→MCQ 2331 Mark
The area of a circle of radius $r$ is
- A
$\frac{1}{2} \pi r^{2}$
- ✓
$r^{2}$
- C
$\pi r^{2}$.
- D
$\frac{1}{4} \pi r^{2}$
AnswerCorrect option: B. $r^{2}$
$r^{2}$
View full question & answer→MCQ 2341 Mark
The area of a parallelogram of base $\mathrm{b}$ and altitude $\mathrm{h}$ is
View full question & answer→MCQ 2351 Mark
The area of a triangle with base $b$ and altitude $h$ is
AnswerCorrect option: A. $\frac{1}{2} \mathrm{bh}$
$\frac{1}{2} \mathrm{bh}$
View full question & answer→MCQ 2361 Mark
The area of a square of side $a$ is
- A
$a$
- ✓
$a^{2}$
- C
$2 \mathrm{a}$
- D
$4 a$
AnswerCorrect option: B. $a^{2}$
$a^{2}$
View full question & answer→MCQ 2371 Mark
The area of a rectangle of length a and breadth $\mathrm{b}$ is
- A
$a$
- ✓
$a b$
- C
$a^{2}+b^{2}$
- D
$2 a b$
View full question & answer→