Wayne is using a waterproof covering to cover a storage locker that measures 4 ft wide, 10 ft tall, and 6 ft long. Which is the

Question

3 years ago

11

Wayne is using a waterproof covering to cover a storage locker that measures 4 ft wide, 10 ft tall, and 6 ft long. Which is the

correct unit of measurement to use to figure out the amount of covering Wayne needs to cover the storage locker? A. ft² B. ft³ C. ft
PLEASE HURRY!!

Mathematics

1 answer:

Margaret [11] · Answer 1 · 2022-08-15T20:57:41+03:00

Given the dimensions of locker box are length = 6 feet, width = 4 feet, and height = 10 feet.

Wayne wants to cover the box, so we need to find its total surface area. The box is in the shape of rectangular prism.

We know the formula for total surface area of rectangular prism is given as follows :-

$Total \;Surface \;Area = 2*(lw + wh + hl)$

T.S.A. = 2·(6 x 4 + 4 x 10 + 10 x 6) = 2·(24 + 40 + 60) = 2·(124) = 248 feet²

Surface Area = 248 squared feet

To cover the locker with waterproof covering, we needed to find the surface area of the box. As we multiplied two dimensions at a time in the formula, so the units are "squared feet".

Hence, option A is correct i.e. squared feet or ft².