The area of the figure is: 
- ✓$77\ cm^2$
- B$154\ cm^2$
- C$38.5\ cm^2$
- DNone of these
Answer: A.
View full solution →Question types
Mensuration question types
357 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
357
Questions
6
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
237 Q→02Assertion (A) & Reason (B) MCQ
60 Q→032 Marks Questions
17 Q→043 Marks Question
9 Q→055 Marks Questions
9 Q→06BLANKS [1 Marks Each]
25 Q→Sample Questions
Mensuration questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If the dimensions of a room are $I, b$ and $ h, (\therefore l →$ length, $l →$ breadth and $h →$ hight$)$ them which of the following is the area of its four walls$?$
- ✓$2h(1 + b)$
- B$2h(1 + h)$
- C$21(h + h)$
- D$2h + 1 + b$
Answer: A.
View full solution →The base of a triangle is $14\ cm$ and its height is $8\ cm.$ The area of the triangle is:
- A$112\ cm^2$
- ✓$56\ cm^2$
- C$122\ cm^2$
- D$66\ cm^2$
Answer: B.
View full solution →All six faces of a cube are:
- ✓Identical
- BDifferent
- CCircular
- DRectangular
Answer: A.
View full solution →The diagram has the shape of a:
- ASquare
- ✓Rectangle
- CTriangle
- DTrapezium
Answer: B.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A):$ The area of a rhombus is $60 cm^2$. One diagonal is $10 \ cm$ . The other diagonal is $12 \ cm$ Reasons $(R):$ Area of a rhombus $=\frac{1}{2} \times d 1 d 1 \times d 2 d 2$, where d $1$ d $1$ and d $2$ d $2$ are diagonals of a rhombus
Assertion $(A):$ The area of a rhombus is $60 cm^2$. One diagonal is $10 \ cm$ . The other diagonal is $12 \ cm$ Reasons $(R):$ Area of a rhombus $=\frac{1}{2} \times d 1 d 1 \times d 2 d 2$, where d $1$ d $1$ and d $2$ d $2$ are diagonals of a rhombus
- ✓Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C$A$ is true but $R$ is false.
- DA is false but $R$ is true.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A)$: The total surface area of a cylinder of base radius $r$ and height $h$ is $2 \pi r(r+h)$ Reasons $( R )$: The surface area formula is a mathematical solution to find the total area of any three-dimensional object occupied by all of its surfaces
- ✓Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C$A$ is true but $R$ is false.
- D$A$ is false but $R$ is true.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following: Assertion $(A):$ The volume of a cuboid of length $I$ , breadth b and height h is $lb + h$ Reasons $( R )$: Volume of cuboid is the product of length, width and height.
- ABoth $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C$A$ is true but $R$ is false.
- ✓$A$ is false but $R$ is true.
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason(s) $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A): 1 cm^3=100 mm^3$
Reasons $(R)$: Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
Assertion $(A): 1 cm^3=100 mm^3$
Reasons $(R)$: Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
- ABoth $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C$A$ is true but $R$ is false.
- ✓$A$ is false but $R$ is true.
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason $(s)(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: A glass in the form of a right circular cylinder is half full of water. Its base radius is $3 \ cm$ and height is $8 \ cm$ . The volume of water is $36 cm^3$
Reasons $(R)$: Volume is calculated by multiplying length $x$ width $x$ height
Assertion $(A)$: A glass in the form of a right circular cylinder is half full of water. Its base radius is $3 \ cm$ and height is $8 \ cm$ . The volume of water is $36 cm^3$
Reasons $(R)$: Volume is calculated by multiplying length $x$ width $x$ height
- ABoth $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- BBoth $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C$A$ is true but $R$ is false.
- ✓$A$ is false but $R$ is true.
Answer: D.
View full solution →A closed cylinder tank of radius $7\ m$ and height $3\ m$ is made from a sheet of metal. How much sheet of metal required?
View full solution →Find the side of a cube whose surface area is $600$ $cm^2$.
View full solution →Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.
The diagonal of a rhombus are $7.5\ cm$ and $12\ cm$. Find its area.
View full solution →The diagonal of a quadrilateral shaped field is $24\ m$ and the perpendiculars dropped on it from the remaining opposite vertices are $8\ m$ and $13\ m$. Find the area of the field.
View full solution →A road roller takes $750$ complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is $84 cm$ and length is $1 m.$
View full solution →The lateral surface area of a hollow cylinder is $4224\ cm^2$. It is cut along its height and formed a rectangular sheet of width $33 \ cm.$ Find the perimeter of rectangular sheet?
View full solution →Rukhsar painted the outside of the cabinet of measure $1 m \times 2 m \times 1.5 m$. How much surface area did she cover if she painted all except the bottom of the cabinet.
View full solution →Mohan wants to buy a trapezium-shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is $10500 m^2$ and the perpendicular distance between the two parallel sides is $100 \ m$, find the length of the side along the river.
View full solution →Length of the fence of a trapezium-shaped field $A B C D$ is $120 m$ . If $B C=48 m, C D=17 m$ and $A D=40 m$, find the area of this field. Side $A B$ is perpendicular to the parallel sides $A D$ and $B C$.
View full solution →Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of $15\ m, 10\ m$ and $7\ m$ respectively. From each can of paint $100$ $m^2$ of area is painted. How many cans of paint will she need to paint the room?
View full solution →A suitcase with measures $80\ cm \times 48\ cm \times 24\ cm$ is to be covered with a trapaulin cloth. How many metres of trapaulin of width $96\ cm$ is required to cover $100$ such suitcases ?
View full solution →A company packages its milk powder in cylindrical container whose base has a diameter of $14\ cm$ and height $20\ cm$. Company places a label around the surface of the container (as shown in the figure). If the label is placed $2\ cm$ from top and bottom, what is the area of the label.
View full solution →There are two cuboidal boxes as shown in the adjoining figure. Which box requires the least amount of material to make?
The area of a square with length $6\ cm$ is _______ $cm ^2.(12, 36, 24)$
View full solution →The perimeter of a square with length $8\ cm$ is _______$ cm.(16. 32, 64)$
View full solution →The perimeter of a rectangle with length $6\ cm$ and breadth $4\ cm$ is _______$ cm.(20, 24, 48)$
View full solution →The area of a rectangle with length $10\ cm$ and breadth $8\ cm$ is _______ $cm ^2.(18,36,80)$
View full solution →The volume of a cube with length $4\ cm$ is _______ $cm ^3.(16. 64, 24)$
View full solution →Generate a Mensuration paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.