Calculate Cuboid Volume: Using Rectangle Area of 20 cm²

If the area of the rectangle DBFH is 20 cm².

Determine the volume of the cuboid ABCDEFGH.

AAABBBDDDCCCEEEGGGFFFHHH48

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the volume of the box ABCDEFGH
00:05 Data values
00:10 Let's mark the side BF with the letter X
00:13 The formula for calculating rectangle area - length (BF) multiplied by width (HF)
00:16 Let's substitute appropriate values and solve for X
00:21 Calculate volume by length(8) multiplied by width(4) multiplied by height(5)
00:24 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

If the area of the rectangle DBFH is 20 cm².

Determine the volume of the cuboid ABCDEFGH.

AAABBBDDDCCCEEEGGGFFFHHH48

2

Step-by-step solution

We know the area of DBHF and the length of HF.

We will substitute the given data into the formula in order to find BF. Let's mark the side BF as X:

4×x=20 4\times x=20

We'll divide both sides by 4:

x=5 x=5

Therefore, BF equals 5

Now we can calculate the volume of the box:

8×4×5=32×5=160 8\times4\times5=32\times5=160

3

Final Answer

160 160 cm³

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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