Question

Find the surface area of the rectangular prism with 1= 15 m, w = 16 m, and h = 4 m.

960 m²
1,920 m²
70 m²
728 m²

Answer 1

`728 \: {m}^(2)`

Explanation:

Given:

l = 15 m (length)

w = 16 m (width)

h = 4 m (height)

Find: a (surface) - ?

First, let's find the area of the base:

a (base) = l × w

a (base) = 15 × 16 = 240 m^2

Since the rectangular prism has 2 bases, we multiply this number by 2:

240 × 2 = 480 m^2 (area of both bases)

Now, let's find the lateral surface area:

a (lateral) = 2(4 × 15) + 2(4×16) = 2 × 60 + 2 × 64 = 120 + 128 = 248 m^2

Finally, in order to find the whole surface area, we have to add the lateral surface area and both bases area together:

a (surface) = a (lateral) + a (base)

a (surface) = 248 + 480 = 728 m^2