Unit 1: Area and Surface Area Review

Which one matches?

• A

• B

• C

• D

• E

Answer explanation

Choice D matches because it aligns with the criteria specified in the question, while the other options do not meet the necessary requirements.

Tags

CCSS.6.G.A.4

What is the area of the rectangle?

• 22 cm²

• 11 cm²

• 24 cm²

• 12 cm²

Answer explanation

To find the area of a rectangle, multiply its length by its width. If the dimensions are 6 cm and 4 cm, the area is 6 cm x 4 cm = 24 cm², which matches the correct answer.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of this triangle

• 10.5 cm²

• 21 cm²

• 12.25 cm²

• 73.5 cm²

Answer explanation

The area of a triangle can be calculated using the formula: Area = 0.5 * base * height. Given the dimensions, the calculation yields 10.5 cm², making it the correct choice among the options.

Tags

CCSS.6.G.A.1

All the measures are cm. What is the surface area?

• 60 cm

• 18cm³

• 55 cm²

• 44cm

Answer explanation

To find the surface area, we use the formula for the area of a shape. The correct answer is 55 cm², which indicates a two-dimensional measurement, suitable for surface area, unlike the other options.

Tags

CCSS.6.G.A.4

Which one matches?

• A

• B

• C

• D

• E

Answer explanation

Choice A is the correct match because it aligns with the criteria specified in the question, while the other options do not meet the necessary requirements.

Tags

CCSS.6.G.A.4

Select all the expressions that match with the volume.

• V = 5³

• V = 5²

• V = 5·5·5

• V = 6· 5

• V = 5x5x5

Answer explanation

The volume of a cube is calculated as side length cubed. Thus, 5³, 5·5·5, and 5x5x5 all represent 5 cubed, while 5² and 6·5 do not match the volume expression.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the surface area?

• 6 cubic units

• 22 square units

• 22 cubic units

• 11 square units

Answer explanation

The surface area is measured in squared units, not cubic units. For a cube, the formula is 6 times the area of one face. If each face has an area of 22 squared units, the total surface area is 22 squared units.

Tags

CCSS.3.MD.C.6

To find the surface area of a prism I...

• multiply base times height and divide by two

• multiply base times height

• multiply base times height times length

• Add all the areas of the faces

Answer explanation

To find the surface area of a prism, you need to add all the areas of the faces. This includes the areas of the two bases and the lateral faces, ensuring you account for the entire surface.

Tags

CCSS.7.G.B.6

To find the volume of a cube I...

• multiply base times height and divide by two

• multiply side times side times side (s x s x s)

• multiply 2 times side

• Add all the areas of the faces

Answer explanation

To find the volume of a cube, you multiply the length of one side by itself three times (s x s x s). This gives you the total volume, unlike the other options which describe different calculations.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

To find the volume of a prism I...

• multiply base times height and divide by two

• multiply base times height

• multiply base times height times length

• Add all the areas of the faces

Answer explanation

To find the volume of a prism, you multiply the area of the base by the height (or length) of the prism. Thus, the correct method is to multiply base times height times length.

Tags

CCSS.7.G.B.6