3D Shapes
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Q1
The areas of three adjacent faces of a cuboid are a, b and c. If the volume of the cuboid is V, then V^{2} is equal to
Marks:1Answer:
abc.
Explanation:

Q2
If the volume of a cube is 216 cm^{3}, then the surface area of the cube will be
Marks:1Answer:
216 cm^{2}.
Explanation:
Since, volume of a cube = side^{3}
Thus, side = 6 cm
And,
surface area of the cube = 6 x side^{2}
= 216 cm^{2} 
Q3
If the volume of two cubes are in the ratio of 8 : 27, then the ratio of their edges is
Marks:1Answer:
2 : 3.
Explanation:
Let V_{1} and V_{2} be the volumes and l_{1} and l_{2} be the sides of two cubes.
Since, volume of a cube = side^{3}
Therefore, V_{1} : V_{2} = l_{1}^{3} : l_{2}^{3}Or 2 : 3 = l_{1} : l_{2} (Given, V_{1} : V_{2} = 8 : 27)

Q4
The area of four walls of a room whose length is 12 m, width is 8 m and height is 10 m is
Marks:1Answer:
400 m^{2}.
Explanation:
Area of four walls of a room = 2h(l+b)
= 2x10(12+8)= 20x20
= 400 m^{2}

Q5
The base area of a cuboid is 25 cm^{2} and its height is 11 cm. The volume of the cuboid is
Marks:1Answer:
275 cm^{3}
Explanation:
Volume of cuboid = base area × height
= (25 × 11) cm^{3}
= 275 cm^{3}