Volume and Surface Areas Quiz Set 019

Let the side of a cube be L. Then L³ = 512, which gives L = 8. The resulting cuboid has L = L, H = L, and B = 2L. The surface area is 2 × (LB + BH + HL) = 2 × (2L² + 2L² + L²) = 10 × L² = 10 × 8² = 640 sq. cm.

The radius of the base of the cone r = 7 cm, and height h = 24 cm. The volume is $1/3$π$(r^2 × h)$ = $1/3$π$(7^2 × 24)$ = 392π.

In one hour, a water column of length 10 km is delivered through the cylindrical pipe. The equivalent volume is ${22 × 49 × 49 × 10 × 1000}/{7 × 100 × 100}$, which can easily be cancelled to get 7546 cu. m.

In one hour, a water column of length 10 km is delivered through the cylindrical pipe. The equivalent volume is π × ${2 × 2 × 10 × 1000}/{100 × 100}$, which can easily be cancelled to get 4π cu. m.

Let the side of a cube be L. Then L³ = 343, which gives L = 7. The resulting cuboid has L = L, H = L, and B = 2L. The surface area is 2 × (LB + BH + HL) = 2 × (2L² + 2L² + L²) = 10 × L² = 10 × 7² = 490 sq. cm.