Question

My bed is 3 inches by 2 inches by

Answer 1

Option A

Volume of bed is $2\frac{2}{3}$ cubic inches

Solution:

Given are the dimensions of bed

To find: volume of bed

Since bed is generally of cuboid shape, we can use the volume of cuboid formula

volume of cuboid is given as:

$\text{ volume of cuboid } = l \times w \times h$

Where, "l" is the length and "w" is the width and "h" is the height of cuboid

From attached figure in question

$l = 2\frac{2}{3} inches = \frac{3 \times 2 + 2}{3} = \frac{8}{3} inches$

$w = 3 inches$

$h = \frac{1}{3} inches$

Substituting the values in formula,

$v = \frac{8}{3} \times 3 \times \frac{1}{3}\\\\v = \frac{8}{3} = 2\frac{2}{3}$

Therefore volume of bed is $2\frac{2}{3}$ cubic inches