Given the cuboid of the figure:
Given: volume of the cuboid is 45
What is the value of X?
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Given the cuboid of the figure:
Given: volume of the cuboid is 45
What is the value of X?
Volume formula for a rectangular prism:
Volume = length X width X height
Therefore, first we will place the data we are given into the formula:
45 = 2.5*4*X
We divide both sides of the equation by 2.5:
18=4*X
And now we divide both sides of the equation by 4:
4.5 = X
4.5
A rectangular prism has a base measuring 5 units by 8 units.
The height of the prism is 12 units.
Calculate its volume.
From the diagram: length = 2.5 (labeled on the right edge), width = 4 (labeled at the bottom), and height = X (labeled on the left side). The order doesn't matter for multiplication!
Volume measures how much space is inside a 3D shape. You need all three dimensions because you're finding how many unit cubes fit inside the rectangular prism.
Decimal answers are completely normal for geometry problems! Real-world measurements often involve fractions and decimals. Just make sure your calculation is correct.
Substitute your answer back: 2.5 × 4 × 4.5. First calculate 2.5 × 4 = 10, then 10 × 4.5 = 45. If you get the original volume, you're right!
Good news! Since volume uses multiplication, the order doesn't matter. Whether you write 2.5 × 4 × X or 4 × X × 2.5, you'll get the same answer.
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