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.
Volume of a cuboid is $12 \mathrm{~cm}^3$. The volume (in $\mathrm{cm}^3$ ) of a cuboid whose side are doubled of the above cuboid is:
Answer: D.
View full solution →The cost of constructing a wall $8$ m long, $4$ m high and $10$ cm thick at the rate of $₹ 25$ per $\mathrm{m}^3$ is:
- A
$₹ 16$
- B
$₹ 80$
- ✓
$₹ 160$
- D
$₹ 320$
Answer: C.
View full solution →If each edge of cuboid of surface area $S$ is doubled, then surface area of the new cuboid is:
Answer: B.
View full solution →The number of cubes of side $3\ cm$ that can be cut from a cuboid of dimensions $10cm \times 9cm \times 6cm$, is:
Answer: C.
View full solution →The length of the longest rod that can be fitted in cubical vessel of edge $10\ cm$ long, is:
- A
$10\text{cm}$
- B
$10\sqrt{2}\text{cm}$
- ✓
$10\sqrt{3}\text{cm}$
- D
$20\text{cm}$
Answer: C.
View full solution →The Surface area of a cuboid is $1300 \mathrm{~cm}^2$. If its breadth is 10 cm and height is $20 \mathrm{~cm}^2$, find its length.
View full solution →Three cubes of metal whose edges are in the ratio $3 : 4 : 5$ are melted down into a single cube whose diagonal is $12\sqrt{3}\text{cm}.$ Find the edge of three cubes.
View full solution →Find the edge of a cube whose surface area is $432 \mathrm{~m}^2$.
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 →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 $200\ m$ long and $150\ m$ broad. There is a plot, $50\ m$ long and $40\ m$ broad, near the field. The plot is dug $7\ m$ deep and the earth taken out is spread evenly on the field. By how many meters is the level of the field raised? Give the answer to the second place of decimal.
View full solution →A field is in the form of a rectangular length $18\ m$ and width $15\ m$. A pit $7.5\ m$ long, 6m broad and $0.8\ m$ 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 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 →A rectangular tank is $80\ m$ long and $25\ m$ broad. Water flows into it through a pipe whose cross-section is $25\ cm^2$, at the rate of $16\ km$ per hour. How much the level of the water rises in the tank in $45$ minutes?
View full solution → Hameed has built a cubical water tank with lid for his house, with each other edge $1.5\ m$ 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?
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