Respuesta :

Surface area = 400 ft²

Volume = 448 ft³

Explanation:

length = 4 ft

width = 8 ft

height = 14 ft

The storage chest is a rectangular prism in shape

We use volume of rectangular prism formula:

[tex]\text{Volume of rectangular prism = length }\times width\text{ }\times\text{ height}[/tex][tex]\begin{gathered} \text{Volume = 4ft }\times\text{ 8ft }\times\text{ 14 ft} \\ \text{Volume = }448ft^3 \end{gathered}[/tex]

Hence, the volume of the storage chest is 448ft³

Surface area of rectangular prism = 2(lw + hw + hl)

Surface area = 2(4 × 8 + 14 × 8 + 14 × 4)

Surface area = 2(32 + 112 + 56)

Surface area = 2(200)

Surface area = 400 ft²

Surface area of the chest = 400 ft²