Solve for the volume of the composite figure.
(1 point)
Responses
448 cm3
448 cm cubed
154 cm3
154 cm cubed
952 cm3
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
the height is 14 the width is 5 and the length is 6
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
the width is 4
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