ANSWERS: 8th Unit 7REVIEW: MEASURING 3D FIGURES

1. The volume of a cylinder is approximately 282.6 cubic inches. The height of the cylinder is 10 inches. Which is the best approximation for the radius of the cylinder?
A 3 inches
B 4 inches
C 5 inches
D 6 inches / 3. A triangular prism is shown below.

What is the total surface area of the prism?
320 square units
2. Sarah drew a cylinder with an-eight inch diameter and a height of 6 inches. Rachel drew a cylinder with a six-inch diameter and a height of 8 inches. Sarah stated that she thought the volumes of their two cylinders would be equal.
Volume of Sarah’s cylinder:
Volume of Rachel’s cylinder: / 4. Find the amount of aluminum needed to make the can below. In terms of , how many square cm of aluminum are needed to make 100 cans?
36,800 pi square cm

5. A cylinder and a cone have congruent bases and heights. What will be the relationship of thevolumes of the two figures?
Cylinder is three times bigger than a cone.
Cones will hold a third of the amount that a cylinder will hold. / 8. What is the volume of a cylinder that has the same base and height dimensions as the cone shown below?

3014.4 cubed meters
6. Melinda is trying to decide between two different storage containers. She wants to purchase the container that has more volume. Which volume is greater?

The cylinders volume is greater. / 9. Sean wants to make a canvas tent with the dimensions shown, including the floor. The canvas costs $2.15 per square centimeter. How much will Sean spend on canvas?
$477.30

7. A lawn roller is 2 m wide with a diameter of180 cm high. What area is covered in five revolutions?
(1 m = 100 cm)

Around 565,200 square cm / 10. Write three algebraic representations that would describe a reduction dilation.
______
______
______
Reductions will have a scale factor between 0 and 1.
11. What does the algebraic representation (x, y) (x - 5, y + 7) represent?
Translations slide
Subtract 5 would move the x 5 units left.
Add 7 would move the y up 7 units. / 14. A triangle has one leg of 20 inches and one leg of 48 inches. For the triangle to be a right triangle, what must be the length of the hypotenuse?
C= 52 in
12. Trapezoid KLMN is similar to trapezoid WXYZ.

Whichisclosest to thelength of YZ?
F 3.7m
G 4.2 m
H 4.8 m
J 7.9 m / 15. A cone has a diameter that is 12 inches long and a height of 15 inches. What is the volume of the cone in terms of Pi?
180 pi cubed inches
13. Identify the slope and y-intercept of the following:
  1. y = 120 + 3x s: 3 y-int: 120
  1. y = -3x + 12 s: -3 y-int: 12
  1. y = -200 – 4x s: -4 y-int: -200
/ 16. The triangle below is dialted by a scale factor of 3.

What is the area of the new triangle?
A= 54 sq units
17. A patio in the shape of a triangle is shown in the figure above. The patio is to be enclosed by a fence. How much fencing will be needed to enclose the patio if 1 inch represents 2 feet.

F 112 feet
G 24 feet
H 48 feet
J 224 feet / 18. A weather balloon shaped like a sphere has a diameter of 10 cm. Which expression can be used to find the volume of the weather balloon?

F H
G J 