If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’? the length is 10ft
the height is 6.5ft
what would x
A. 3 ft
B. 2.25 ft
C. 4.5 ft
D. 5 ft

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

Where, l is length, b is breadth and h is height of the cuboid.

Putting in the above formula, we get

Using distributive property, we get

Divide both sides by 33.

Therefore, the correct option is B.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

12/11c

or

12

c

11