Use the image to answer the question.
An illustration showing two cubes joined on both sides of a cuboid. The sides of the cube are 5 centimeters. The length of the cuboid is 10 centimeters and height is 12 centimeters.
What is the volume of the composite figure?
(1 point)
Responses
170 cm3
170 cm cubed
850 cm3
850 cm cubed
725 cm3
725 cm cubed
370 cm3
370 cm cubed
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To find the volume of the composite figure, we first need to find the volume of each individual shape and then add them together.
Volume of the two cubes:
Each cube has sides of length 5 cm, so the volume of each cube is 5 cm x 5 cm x 5 cm = 125 cm^3
Since there are two cubes, the total volume for both cubes is 125 cm^3 + 125 cm^3 = 250 cm^3
Volume of the cuboid:
The length of the cuboid is 10 cm, the width is 5 cm, and the height is 12 cm. So the volume of the cuboid is 10 cm x 5 cm x 12 cm = 600 cm^3
Total volume of the composite figure:
Adding the volume of the two cubes and the volume of the cuboid, we get:
250 cm^3 + 600 cm^3 = 850 cm^3
Therefore, the volume of the composite figure is 850 cm^3.