Calculate Cuboid Volume: 15 cm² Base Area with 3 cm Height

Question

Given the cuboid of the figure:

333151515

The area of the base of the cuboid is 15 cm²,

The length of the lateral edge is 3 cm.

what is the volume of the cuboid

Video Solution

Solution Steps

00:00 Calculate the volume of the box
00:03 Area of the rectangle according to the given data
00:09 The sides of the rectangle are the width and length of the box
00:18 The area of the rectangle equals height times box length
00:24 Area of the rectangle according to the given data
00:27 We'll use the formula for calculating box volume
00:30 Width times height times length
00:34 We'll substitute appropriate values according to the data and solve for volume
00:52 And this is the solution to the question

Step-by-Step Solution

To calculate the volume of a cuboid, as we mentioned, we need the length, width, and height.

It is important to note that in the exercise we are given the height and the base area of the cuboid.

The base area is actually the area multiplied by the length. That is, it is the data that contains the two pieces of information we are missing.

Therefore, we can calculate the area by height * base area

15*3 = 45

This is the solution!

Answer

45 cm²