Question

A rectangular prism with a length of 7 centimeters, width of 5 centimeters, and height of 8 centimeters. A rectangular prism with a length of 10 centimeters, width of 7 centimeters, and height of 4 centimeters. What is the volume of the composite figure? 1. Volume of prism 1  V = Bh  V = (5cm)(7cm)(8cm) 2. Volume of prism 2  V = Bh  V = (10cm)(7cm)(4cm) 3. Total volume = cm3

Answer 1

Answer:560 cm3

Step-by-step explanation:V = Bh, V= 5cm x 7cm x 8cm = 280 cm3

V = Bh, V = 10cm x 7cm x 4cm = 280cm 3

280+280 = 560 cm3.

Answer 2

Answer: The volume of the composite figure is $420\text{ cm}^3$.

Step-by-step explanation:

We know that the volume of a rectanbgular prism is given by :-

Volume = length x width x height

Given, for prism 1 , we have

length of 7 centimeters, width of 5 centimeters, and height of 8 centimeters

Volume of prism 1= $(7)(5)(8)=280\text{ cm}^3$

Given, for prism 2 , we have

length of 10 centimeters, width of 7 centimeters, and height of 4 centimeters.

Volume of prism 2= $(10)(7)(4)=280\text{ cm}^3$

Now , the volume of the composite figure = Volume of prism 1+ Volume of prism 2

$=210\text{ cm}^3+210\text{ cm}^3=420\text{ cm}^3$

Hence, the volume of the composite figure is $420\text{ cm}^3$.