Math 7 Unit 8 - 3D Figures Test Review

Math 7 Unit 8
Surface Area & Volume

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Spiral Review

​SOL 7.3a - Proportional Reasoning
SOL 7.8a - Theoretical Probability

Multiple Choice

Nina went to the store and purchased $48 worth of items. If there is a 3% tax, what is Nina's total cost?

• $$\$1.44$$

• $$\$49.44$$

• $$\$46.56$$

• $$\$51.00$$

Multiple Choice

Henry bought a basketball for 20% off the original price.

If the original price was $30, what is the sale price of the basketball?

• $$\$6$$

• $$\$24$$

• $$\$36$$

• $$\$14$$

Multiple Choice

Look at the image.

The spinner was spun 10 times, landing on blue three times. What is the theoretical probability the spinner will land on the section labeled "Blue"?

• $$\frac{3}{10}$$

• $$\frac{1}{2}$$

• $$\frac{1}{4}$$

• $$\frac{3}{4}$$

Multiple Choice

A fair number cube was rolled 50 times.

According to the table, what is the theoretical probability of rolling an even number?

• $$\frac{1}{2}$$

• $$\frac{2}{3}$$

• $$\frac{1}{3}$$

• $$\frac{1}{6}$$

Poll

Student Reflection - Rate yourself on how well you understand the review skills.

En español: Reflexión del estudiante: califíquese según su comprensión de las habilidades de repas.

• I have some background knowledge, but I am still confused.

  En español

  Tengo algunos conocimientos previos, pero todavía estoy confundido.

• I can do this with help, a partner, or an example in front of me.

  En español

  Puedo hacer esto con ayuda, un compañero o un ejemplo frente a mí.

• I can do this on my own with very few mistakes and explain my thinking.

  En español

  Puedo hacer esto por mi cuenta con muy pocos errores y explicar mi pensamiento.

• I understand this so well that I can teach someone else.

  En español

  Entiendo esto tan bien que puedo enseñarle a otra persona.

Unit 8: 3-D Figures

​SOL 7.4a

Describe and determine the volume and surface area of rectangular prisms and cylinders.

Multiple Choice

Find the surface area of the cylinder. Round to the nearest hundredth.

• $$100.48\ m^2$$

• $$75.36\ m^3$$

• $$301.44\ m^3$$

• $$251.20\ m^2$$

Multiple Choice

Jonas is building a garden in his backyard in the shape of a rectangular prism. How much dirt will the garden hold, given the image?

• $$358\ ft^2$$

• $$358\ ft^3$$

• $$420\ ft^2$$

• $$420\ ft^3$$

Fill in the Blanks

Given the image, which rectangular prism has the greatest volume?

Fill in the Blanks

A cube could be made using the net given.

What would be the total surface area of the cube created using the net?

Multiple Choice

What is the surface area of the prism?

• $$528\ cm^3$$

• $$640\ cm^3$$

• $$1,280\ cm^3$$

• $$25,600\ cm^3$$

Multiple Choice

Which method would result in the surface area of the cylinder?

• Add the areas of both bases to the rectangular area around the cylinder

• Add the areas of both bases

• Multiply the area of the base by the height

• Multiply the rectangular area around the cylinder by pi.

Multiple Choice

The net for a cylinder is shown in the figure.

Which is closest to the volume of this cylinder?

(Use $$3.14\ for\ \pi$$ )

• $$246.80\ mm^3$$

• $$271.92\ mm^3$$

• $$78.6\ mm^3$$

• $$235.80\ mm^3$$

Poll

Student Reflection - Rate yourself on how well you understand the review skills.

En español: Reflexión del estudiante: califíquese según su comprensión de las habilidades de repas.

• I have some background knowledge, but I am still confused.

  En español

  Tengo algunos conocimientos previos, pero todavía estoy confundido.

• I can do this with help, a partner, or an example in front of me.

  En español

  Puedo hacer esto con ayuda, un compañero o un ejemplo frente a mí.

• I can do this on my own with very few mistakes and explain my thinking.

  En español

  Puedo hacer esto por mi cuenta con muy pocos errores y explicar mi pensamiento.

• I understand this so well that I can teach someone else.

  En español

  Entiendo esto tan bien que puedo enseñarle a otra persona.

Unit 8: 3-D Figures

​SOL 7.4b SA & Vol Practical Problems

• Determine if a practical problem involving a rectangular prism or cylinder represents the application of volume or surface area.

• Solve practical problems that require determining the surface area of rectangular prisms and cylinders.

• Solve practical problems that require determining the volume of rectangular prisms and cylinders.

Poll

Student Reflection - Rate yourself on how well you understand the review skills.

En español: Reflexión del estudiante: califíquese según su comprensión de las habilidades de repas.

• I have some background knowledge, but I am still confused.

  En español

  Tengo algunos conocimientos previos, pero todavía estoy confundido.

• I can do this with help, a partner, or an example in front of me.

  En español

  Puedo hacer esto con ayuda, un compañero o un ejemplo frente a mí.

• I can do this on my own with very few mistakes and explain my thinking.

  En español

  Puedo hacer esto por mi cuenta con muy pocos errores y explicar mi pensamiento.

• I understand this so well that I can teach someone else.

  En español

  Entiendo esto tan bien que puedo enseñarle a otra persona.

Multiple Choice

Which expression represents the amount of wheat this cylinder can store?

• $$2\cdot\pi\cdot18^2+2\cdot\pi\cdot18\cdot2.1$$

• $$\pi\cdot18^2\cdot2.1$$

• $$\pi\cdot9^2\cdot2.1$$

• $$2\cdot\pi\cdot9^2+2\cdot\pi\cdot9\cdot2.1$$

Match

Match the following scenario with the correct formula.

• $$V=\pi r^2h$$

• $$V\ =\ lwh$$

• $$SA\ =\ 2\pi r^2+2\pi rh$$

• $$SA=2lw+2lh+2wh$$

water inside a well

stamp collection in a box

label on a Pringles can

saran wrap around a brownie

• water inside a well

• stamp collection in a box

• label on a Pringles can

• saran wrap around a brownie

Categorize

Options (11)

Painting four walls of a room

Wrapping a gift

Soup can label

Concrete pouring of a driveway

Milk in a glass

Brownies in a pan

Determining the coverage of wallpaper

Figuring out the dimensions for a book cover

Sand in a bucket

Oil in a container

Soda in a can

Consider each situation below. Determine if the situations represent applications of surface area or volume.

Surface Area

Volume

Multiple Choice

John bought a new house and needs to have a well drilled in the backyard.

If the well is 3 feet in diameter and is drilled to a depth of 30 feet, what values would you use for "r" and "h"?

• $$r=3,\ h=30$$

• $$r=1.5,\ h=30$$

• $$r=30,\ h=3$$

• $$r=30,\ h=1.5$$

Multiple Choice

Skylar is wrapping a present for her friend's birthday party. The present is 4 inches wide, 7 inches high, and 19 inches long. How much wrapping paper will Skylar need to wrap the present?

• $$S.A.=2lw+2lh+2wh$$

• $$S.A.=2\pi r^2+2\pi rh$$

• $$V=lwh$$

• $$V=\pi r^2h$$

Multiple Choice

Diego has a pool in his backyard that she needs to fill with water.

The pool is 75 feet long, 8 feet deep and 20 feet wide. How much water will it take to fill the pool?

• $$12,000\ ft^3$$

• $$4,520\ ft^2$$

• $$3,518.58\ ft^2$$

• $$10,053\ ft^3$$

Multiple Choice

Jontavious has a cylinder that has a radius of 5 inches and a height of 7 inches.

Dominique has a rectangular prism with a length of 9 inches, height of 15 inches, and width of 4 inches.

Whose container would be able to hold more water?

• Jontavious

• Dominique

Multiple Choice

The volume of a prism is 1,408 cubic inches.

If the height of the prism is 16 inches and the width is 8 inches, what is the length of the prism?

• $$11\ inches$$

• $$180,224\ inches$$

• $$8\ inches$$

• $$24\ inches$$

Fill in the Blanks

Jack uses 126 square inches of wrapping paper to wrap a present.

If the gift is 6 inches high and 3 inches wide, how long is it?

Multiple Choice

Which cylinder has the least volume?