Calculate Cuboid Volume: Rectangle Base 12 cm² with Height 3

ABCD is a rectagle that has an area of 12 cm².

Calculate the volume of the cuboid ABCDEFGH.

333AAABBBDDDCCCEEEGGGFFFHHH2

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's find the volume of the box, A B C D E F G H.
00:14 Remember, in a rectangle, opposite sides are equal.
00:18 We'll label the side, C D, with the letter X.
00:22 To find the area of a rectangle, multiply the length, C D, by the width, B D.
00:28 Now, let's plug in the values and solve for X.
00:32 Calculate the volume: length, six, times width, two, times height, three.
00:39 And that's how we find the solution!

Step-by-step written solution

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1

Understand the problem

ABCD is a rectagle that has an area of 12 cm².

Calculate the volume of the cuboid ABCDEFGH.

333AAABBBDDDCCCEEEGGGFFFHHH2

2

Step-by-step solution

Based on the given data, we know that:

BD=HF=2 BD=HF=2

We also know the area of ABCD and the length of DB.

We can therefore substitute these values into the formula to find CD, which we will call x x :

2×x=12 2\times x=12

We can then divide both sides by 2:

x=6 x=6

Therefore, CD equals 6.

Finally, we can calculate the volume of the box as follows:

6×2×3=12×3=36 6\times2\times3=12\times3=36

3

Final Answer

36 36

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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