Mathematics
A cuboid with dimensions 12 cm x 9 cm x 2 cm is made of a metal. It is melted and recast into a solid cube. The edge of the cube is :
6 cm
12 cm
15 cm
8 cm
Mensuration
24 Likes
Answer
Given:
Dimensions of cuboid = 12 cm x 9 cm x 2 cm
Let s be the side of cube.
Volume of cuboid = Volume of cube
⇒ side3 = l x b x h
⇒ s3 = 12 x 9 x 2 cm3
⇒ s3 = 216 cm3
⇒ s = cm
⇒ s = 6 cm
The edge of the cube is 6 cm.
Hence, option 1 is the correct option.
Answered By
11 Likes
Related Questions
The area of a square on the diagonal of a cube is 48 cm2. Each edge of the cube is :
2 cm
4 cm
6 cm
8 cm
A cuboid has length = 4 cm, breadth = 3 cm and diagonal = 13 cm. The volume of the cuboid is :
156 cm3
288 cm3
144 cm3
78 cm3
The dimensional ratio of the sides of a cuboid is 3 : 2 : 1. If its volume is 1296 cm3; the actual dimensions of the cuboid are :
12 cm, 12 cm and 8 cm
8 cm, 8 cm and 12 cm
12 cm, 12 cm and 12 cm
18 cm, 12 cm and 6 cm
A tank with dimensions 12 m, 10 m and 8 m is dug and the soil taken out of it is spread uniformly on a field of length = 40 m and breadth = 32 m. The rise in level of the field is :
7.5 m
7.5 cm
75 cm
75 m