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Answer:
(1)750 cubic feet
(2)8 Times
Step-by-step explanation:
<u>Question 1</u>
<u>Dimensions of the Right Triangular Base</u>
- Base = 20 feet
- Height= 120 inches = 10 feet
Base Area of the Prism
- Height of the Prism = 5 feet
Volume of the Prism = Base Area X Height
= 150 X 5
=750 cubic feet
<u>Question 2</u>
<u>Jake's Box</u>
- Length: 12 inches
- Width: 4 inches
- Height: 8 inches
Volume = 12 X 4 X 8 =384 cubic inches
<u>Havana's box</u>
Havana has a shipping box similar to Jake's box, but each dimension is half as long.
Therefore:
- Length: 12/2=6 inches
- Width: 4/2=2 inches
- Height: 8/2=4 inches
Volume = 6 X 2 X 4 =48 cubic inches
Now:
384/48=8
Therefore, the volume of Jake's box is 8 times larger than Havana's box.
The statement that are true about the dilation are:
A. M'N' is 18 units.
D. The dilation is an enlargement.
F. Scale factor is 3.
<h3>What is Dilation?</h3>Given that rectangle LMNP is dilated using the rule Dp.3, it means that rectangle LMNN is enlarged times 3 to get rectangle L'M'N'P'.
This means that the scale factor is 3.
We would have the following:
M'N' = 6 × 3 = 18 units.
Therefore, the statements that are true are:
A. M'N' is 18 units.
D. The dilation is an enlargement.
F. Scale factor is 3.
Learn more about dilation on:
#SPJ1
