The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm³, the total surface area of the box is

(a) 27 cm²

(b) 32 cm²

(c) 44 cm²

(d) 88 cm²

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Solution

Length (l), width (b) and height (h) of the rectangular solid are in the ratio 3 : 2 : 1.

So we can take,

We need to find the total surface area of the box

Volume of the box,

Thus,

Surface area of the box,

Thus total surface area of the box is.

Hence, the correct option is (d).

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The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm3, the total surface area of the box is (a) 27 cm2 (b) 32 cm2 (c) 44 cm2 (d) 88 cm2

Length (l), width (b) and height (h) of the rectangular solid are in the ratio 3 : 2 : 1. So we can take, We need to find the total surface area of the box Volume of the box, Thus, Surface area of the box, Thus total surface area of the box is. Hence, the correct option is (d).

The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm³, the total surface area of the box is

(a) 27 cm²

(b) 32 cm²

(c) 44 cm²

(d) 88 cm²

Length (l), width (b) and height (h) of the rectangular solid are in the ratio 3 : 2 : 1.

So we can take,

We need to find the total surface area of the box

Volume of the box,

Thus,

Surface area of the box,

Thus total surface area of the box is.

Hence, the correct option is (d).