Sample QuestionsSurface Area And Volume of A Cuboid And Cube questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
If $A_1, A_2$ and $A_3$ denote the areas of three adjacent faces of a cuboid, then its volume is:
Answer: C.
View full solution →Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to the sum of the surface areas of three cubes, is:
- ✓
$7 : 9$
- B
$49 : 81$
- C
$9 : 7$
- D
$27 : 23$
Answer: A.
View full solution →A cube whose volume is $\frac18$ cubic centimeter is placed on a cube whose volume is $1\ cm^3.$ The two cubes are then placed on top a third cube whose volume is $8\ cm^3.$ The heigght of the stacked cubes is:
- ✓
$3.5\ cm$
- B
$3\ cm$
- C
$7\ cm$
- D
Answer: A.
View full solution →If l is the length of a diagonal of a cube of volume $V,$ then:
- A
$3\text{V}=\text{l}^3$
- ✓
$\sqrt{3}\text{V}=\text{l}^3$
- C
$3\sqrt{3}\text{V}=2\text{l}^2$
- D
$3\sqrt{3}\text{V}=\text{l}^3$
Answer: B.
View full solution →The sum of the length, breadth and depth of a cuboid is $19\ cm$ and its diagonal is $5\sqrt{5}\text{ cm}.$ Its surface area is:
- A
$361\ cm^2$
- B
$125\ cm^2$
- ✓
$236\ cm^2$
- D
$486\ cm^2$
Answer: C.
View full solution →The Surface area of a cuboid is $1300\ cm^2.$ If its breadth is $10\ cm$ and height is $20\ cm^2,$ find its length.
View full solution →Find the edge of a cube whose surface area is $432\ m^2.$
View full solution →Three cubes of each sides $4\ cm$ are joined end. Find the surface area of the resulting cuboid.
View full solution →If two cubes each of sides $6\ cm$ are jioned face to face, then find the volume of the resulting cuboid.
View full solution →If the perimeter of each face of a cube is $32\ cm,$ find its lateral surface area. Note that four faces which meet the base of a cube are called its lateral faces.
View full solution →Find the laterall surface area and total surface area of a cuboid of length $80\ cm,$ breadth $40\ cm$ and height $20\ cm.$
View full solution →Find the ratio of the total surface area and lateral surface area of a cube.
A field is in the form of a rectangular length $18m$ and width $15m.$ A pit $7.5m$ long, 6m broad and $0.8m$ deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
View full solution →Find the lateral surface area and total surface area of a cube of edge $10\ cm.$
View full solution →The external dimensions of a closed wooden box are $48\ cm, 36\ cm, 30\ cm.$ The box is made of $1.5\ cm$ thick wood. How many bricks of size $6\ cm \times 3\ cm \times 0.75\ cm$ can be put in this box?
View full solution →A cube of $9\ cm$ edge is immersed completely in a rectangular vessel containing water. If the dimensions of the base are $15\ cm$ and $12\ cm,$ find the rise in water level in the vessel.
View full solution →A metal cube of edge $12\ cm$ is melted and formed into three smaller cubes. If the edges of the two smaller cubes are $6\ cm$ and $8\ cm,$ find the edge of the third smaller cube.
View full solution →A cuboidal vessel is $10m$ long and $8m$ wide. How high must it be made to hold $380$ cubic meters of a liquid?
View full solution →Hameed has built a cubical water tank with lid for his house, with each other edge $1.5m$ long. He gets the outer surface of the tank excluding the base, covered with square tiles of side $25\ cm.$ Find how much he would spend for the tiles if the cost of tiles is $₹ 360$ per dozen.
View full solution →The paint in a certain container is sufficient to paint on an area equal to $9.375\ m^2, $How many bricks of dimension $22.5\ cm \times 10\ cm \times 7.5\ cm$ can be painted out of this container?
View full solution →A cuboidal water tank is $6m$ long, $5m$ wide and $4.5m$ deep. How many liters of water can it hold?
View full solution →A child playing with building blocks, which are of the shape of the cubes, has built a structure as shown in Figure. If the edge of each cube is $3\ cm,$ find the volume of the structure built by the child.
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