Question

Walt received a package that is 2 1/3 inches long, 6 ¾ inches high, and 8 ½ inches wide. What is the surface area of the package?
plz help

Answer 1

Answer:

The surface area of the prism is 185.815 square inches.

Hope this helps!

Answer 2

The surface area of prism is 185.815 square inches

Solution:

Given that,

$Length = 2\frac{1}{3}\ inches = \frac{3 \times 2 + 1}{3} = \frac{7}{3}\ inches = 2.33\ inches$

$Width = 8\frac{1}{2}\ inches = \frac{17}{2}\ inches = 8.5\ inches$

$Height = 6\frac{3}{4}\ inches = \frac{27}{4}\ inches = 6.75\ inches$

The surface area of package is given as:

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

Where,

"l" is the length

"w" is the width

"h" is the height

Substituting the values we get,

$A = 2((8.5 \times 2.33) + (6.75 \times 2.33) + (6.75 \times 8.5))\\\\Simplify\ the\ above\ equation\\\\A = 2(19.805+15.7275+57.375)\\\\A = 2 \times 92.9075\\\\A = 185.815$

Thus the surface area of prism is 185.815 square inches