Question

Eli made a wooden box in the shape of a rectangular prism the box has a lenght of 5 in, a width of 3 1/2 in, and a height of 7 in. What is the total area that he will paint?

Answer 1

154 sq.inch

Explanation:

In this question, we are asked to calculate the area of a rectangular prism, given some measurements of the prism in question.

Mathematically, to calculate this , we employ a mathematical formula.

Let’s say the area of the prism is A.

Then mathematically;

A = 2(wl + hl + hw)

Where w, h and l represents the width, height and length respectively.

These have the following values as deduced from the question;

w = 3.5 in, h = 7 in and l = 5 in

We put these values accordingly in the formula to yield;

A = 2(17.5 + 35 + 24.5)

A = 2(77)

A = 154 sq.inch

Answer 2

Total area to be painted = 154 in²

Explanation:

Assuming that the total surface area of the prism will be painted,

Total Surface area of a rectangular prism with dimensions length x, width y and height z is given as

S = 2xy + 2yz + 2xz

The prism in question has lenght of 5 in, a width of 3 1/2 in, and a height of 7 in.

So, the total surface area to be painted will be

x = 5 in,

y = 3 1/2 in = 3.5 in

z = 7 in

S = 2xy + 2yz + 2xz

S = 2[(5)(3.5) + (3.5)(7) + (5)(7)] = 154 in²

Hope this Helps!!