A cuboid has length = 4 cm, breadth = 3 cm and diagonal = 13 cm. The volume of the cuboid is : 1. 156 cm3 2. 288 cm3 3. 144 cm3 4. 78 cm3

Given: Length of cuboid = 4 cm Breadth of cuboid = 3 cm Diagonal of cuboid = 13 cm Let `h` be the height of cuboid. Length of diagonal of cuboid = ⇒ = 13 ⇒ = 13 Squaring both sides, we get ⇒ = (13)2 ⇒ 16 + 9 + h2 = 169 ⇒ 25 + h2 = 169 ⇒ h2 = 169 - 25 ⇒ h2 = 144 ⇒ h = ⇒ h = 12 cm Volume of cuboid = l x b x h = 4 x 3 x 12 cm2 = 144 cm2 Volume of cuboid is 144 cm2. Hence, option 3 is the correct option.

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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 :
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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 :
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Mathematics

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

Mensuration

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 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
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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

Mathematics

A cuboid has length = 4 cm, breadth = 3 cm and diagonal = 13 cm. The volume of the cuboid is :156 cm3288 cm3144 cm378 cm3

Mensuration

Related Questions

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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 cm8 cm, 8 cm and 12 cm12 cm, 12 cm and 12 cm18 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 m7.5 cm75 cm75 m

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 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 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

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