9.An artist is planning to paint an arrow using the pattern shown. What is the amount of area in square feet that will be painted?

(1 point)
_____ square feet
Use the image to answer the question.

An illustration shows a rectangular prism. The top, front, and right faces are visible. The edges that are not visible are indicated by a dashed line. The base is labeled upper B equals 240 centimeters squared. The bottom front edge is labeled l equals 24 centimeters. A vertical edge is labeled h equals 8 centimeters.

Find the volume of the right rectangular prism.

(1 point)
_____cm3

1 answer

To find the area of the arrow that will be painted, we need to calculate the area of each individual shape within the arrow and then add them all together.

1. The rectangle on the left side: Area = length x width = 24 cm x 8 cm = 192 cm^2

2. The triangle on the right side: Area = 0.5 x base x height = 24 cm x 8 cm x 0.5 = 96 cm^2

3. The rectangle at the bottom: Area = 240 cm^2

Total area = 192 cm^2 + 96 cm^2 + 240 cm^2 = 528 cm^2

Therefore, the amount of area that will be painted is 528 square feet.

To find the volume of the right rectangular prism, we need to calculate the volume of a rectangular prism which is given by the formula:

Volume = length x width x height

Given:
Length (l) = 24 cm
Width (w) = 8 cm
Height (h) = 240 cm^2

Volume = 24 cm x 8 cm x 240 cm^2 = 46080 cm^3

Therefore, the volume of the right rectangular prism is 46080 cm^3.