Problem 1
<h3>Answer:
104 cubic inches</h3>
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Explanation:
The prisms are similar so they have the same shape, but different sizes.
The linear scale factor from small to large is:
large/small = 10/4 = 2.5
Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism
4*2.5 = 10
This linear scale factor is then cubed to get the volume scale factor
(2.5)^3 = 15.625
Which tells us:
larger volume = 15.625*(smaller volume)
smaller volume = (larger volume)/15.625
smaller volume = (1625)/15.625
smaller volume = 104 cubic inches
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Problem 2
<h3>Answer: 650 square inches</h3>
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Explanation:
We will go back to the linear scale factor of 2.5
This time, we square it to get (2.5)^2 = 6.25
This is the surface area scale factor.
larger surface area = 6.25*(smaller surface area)
larger surface area = 6.25*(104)
larger surface area = 650 square inches
Answer:
525
Step-by-step explanation:
25 x 6 = 150; 150 / 2 =75; 75 x 7 = 525
Answer:
1. -14
2. v=10
Step-by-step explanation:
1.
- 22= - 8+k
-k-22=-8
-k=-8+22
-k=14/(-1)
k=-14
Given:
1/2 pound of flour
split the flour into 3 bags of equal weight.
1/2 ÷ 3
In dividing fractions, you must remember to get the reciprocal of the 2nd fraction and multiply it to the 1st fraction.
3 is the 2nd fraction. Its reciprocal is 1/3
1/2 * 1/3 = 1/6 pound of flour.
The False statement is:
C. Each bag has 1/3 pound of flour.
