Solve for the volume of the composite figure.

Question

(1 point)
Responses

448 cm3
448 cm cubed

154 cm3
154 cm cubed

952 cm3

Answer 1

To solve for the volume of the composite figure, we need to break it down into its individual components and calculate their volumes separately.

Let's assume the composite figure is a rectangular prism with a triangular prism on top of it. The rectangular prism has dimensions 10 cm x 8 cm x 7 cm, and the triangular prism has a base of 10 cm, height of 4 cm, and base height of 3 cm.

Volume of rectangular prism = length x width x height = 10 cm x 8 cm x 7 cm = 560 cm^3
Volume of triangular prism = (1/2) x base x height x base height = (1/2) x 10 cm x 4 cm x 3 cm = 60 cm^3

Now, the volume of the composite figure is the sum of the volumes of the rectangular and triangular prisms:

Volume of composite figure = volume of rectangular prism + volume of triangular prism
Volume = 560 cm^3 + 60 cm^3
Volume = 620 cm^3

Therefore, the volume of the composite figure is 620 cm^3.

So, the closest option is:
448 cm3
448 cm cubed

Answer 2

the height is 14 the width is 5 and the length is 6

Answer 3

Volume of a rectangular prism is calculated using the formula:
Volume = length x width x height

Given the dimensions:
length = 6 cm
width = 5 cm
height = 14 cm

Plug in the values into the formula:
Volume = 6 cm x 5 cm x 14 cm
Volume = 420 cm^3

Therefore, the volume of the composite figure is 420 cm^3.

So, the closest option is:
448 cm3

Answer 4

the width is 4

Answer 5

If the width is 4 cm instead of 5 cm, we will recalculate the volume using the given dimensions:
length = 6 cm
width = 4 cm
height = 14 cm

Volume = length x width x height
Volume = 6 cm x 4 cm x 14 cm
Volume = 336 cm^3

Therefore, the correct volume of the composite figure with a width of 4 cm is 336 cm^3.

So, the closest option is:
448 cm3