Calculate Base Area of Orthohedron: Given Volume 80 cm³ and 4m Edge

Question

Look at the following orthohedron:

444

The volume of the orthohedron is 80 cm3 80~cm^3 .

The length of the lateral edge is 4 meters.

What is the area of the base of the orthohedron?
(shaded orange in the diagram)

Video Solution

Solution Steps

00:00 Find the base area
00:03 The base area equals the box length times its width
00:24 The base area is a rectangle therefore all angles are right angles
00:28 We'll use the formula for calculating box volume
00:32 width times height times length
00:35 We'll substitute appropriate values according to the given data and solve to find the area
00:46 We want to find the product of height and width
01:03 Let's isolate the area
01:06 And this is the solution to the question

Step-by-Step Solution

The formula for the volume of a box is height*length*width

In the specific question, we are given the volume and the height,

and we are looking for the area of the base,

As you will remember, the area is length * width

If we replace all the data in the formula, we see that:

4 * the area of the base = 80

Therefore, if we divide by 4 we see that

Area of the base = 20

Answer

20 cm²