Question

Juan wants to paint somthing in the shape of a right rectangle prism. The prism is 17 in long 11 in wide and 9 in high. He had enough paint to cover 850 sq in. Dose he have enough paint? Explain your reasoning

Answer 1

Juan does not have enough paint to cover shape of a right rectangle prism

Solution:

Given that,

Juan wants to paint something in the shape of a right rectangle prism

From given,

Length = 17 inches

Width = 11 inches

Height = 9 inches

The surface area of prism is given as:

$A=2(wl+hl+hw)$

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

Substituting the values we get,

$A = 2(11 \times 17 + 9 \times 17 +9 \times 11)\\\\A = 2(187+153+99)\\\\A = 2 \times 439 \\\\A = 878$

Thus surface area of prism is 878 square inches

Given that,

He had enough paint to cover 850 sq in

No he cannot paint since surface area is 878 square inches which is greater than 850 square inches

So, he does not have enough paint