Question

A cooler has a 60-L capacity. Its internal length is 60 cm and its internal width is 35 cm. Determine the internal height and the internal surface area of the cooler.

Hint 1 cm=1 ml

Answer 1

Internal height is approximately 28.5714285714286 cm

Internal surface area is roughly 9628.57142857143 square cm

Round the values however you need to

Explanation:

Work Shown:

1 L = 1000 mL

1 L = 1000 cm^3

60 L = 60,000 cm^3 (multiply both sides by 60)

The cooler has volume of 60,000 cubic cm. Let V = 60000

Assuming the cooler is a rectangular prism (aka a block), then we can say

volume = length*width*height

V = L*W*H

60000 = 60*35*H

60000 = 2100H

2100H = 60000

H = 60000/2100

H = 28.5714285714286 which is approximate

And the surface area (SA) is

SA = 2*(LW + LH + WH)

SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)

SA = 9628.57142857143 which is also approximate

Units for the surface area are in square centimeters.