Option A
Volume of bed is [tex]2\frac{2}{3}[/tex] 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:
[tex]\text{ volume of cuboid } = l \times w \times h[/tex]
Where, "l" is the length and "w" is the width and "h" is the height of cuboid
From attached figure in question
[tex]l = 2\frac{2}{3} inches = \frac{3 \times 2 + 2}{3} = \frac{8}{3} inches[/tex]
[tex]w = 3 inches[/tex]
[tex]h = \frac{1}{3} inches[/tex]
Substituting the values in formula,
[tex]v = \frac{8}{3} \times 3 \times \frac{1}{3}\\\\v = \frac{8}{3} = 2\frac{2}{3}[/tex]
Therefore volume of bed is [tex]2\frac{2}{3}[/tex] cubic inches
