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

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the volume of the box
00:03 The 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 the height multiplied by the length of the box
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 multiplied by Height multiplied by Length
00:34 Substitute appropriate values into the formula according to the known data and solve for the volume
00:52 Here is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

2

Step-by-step solution

To calculate the volume of a cuboid 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!

3

Final Answer

45 cm²

Practice Quiz

Test your knowledge with interactive questions

A rectangular prism has a base measuring 5 units by 8 units.

The height of the prism is 12 units.

Calculate its volume.

121212888555

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