Checkpoint 24 & Mastery Assess It 8 Reveiw

What is the shape of the two-dimensional figure obtained by slicing a right rectangular prism parallel to its base?

• Triangle

• Rectangle

• Circle

• Trapezoid

Answer explanation

Slicing a right rectangular prism parallel to its base creates a cross-section that retains the same shape as the base. Since the base is a rectangle, the resulting two-dimensional figure is also a rectangle.

Tags

CCSS.7.G.A.3

A right rectangular pyramid is sliced parallel to its base. What is the shape of the resulting cross-section?

• Square

• Triangle

• Rectangle

• Trapezoid

Answer explanation

When a right rectangular pyramid is sliced parallel to its base, the resulting cross-section is a trapezoid. This is because the top section is smaller than the base, creating two parallel sides.

Tags

CCSS.7.G.A.3

Calculate the area of a triangle with a base of 8 cm and a height of 5 cm.

• 20 cm²

• 30 cm²

• 40 cm²

• 50 cm²

Answer explanation

The area of a triangle is calculated using the formula: Area = 1/2 × base × height. Here, Area = 1/2 × 8 cm × 5 cm = 20 cm². Therefore, the correct answer is 20 cm².

Tags

CCSS.7.G.B.6

What is the volume of a cube with a side length of 4 cm?

• 16 cm³

• 32 cm³

• 64 cm³

• 128 cm³

Answer explanation

The volume of a cube is calculated using the formula V = side³. For a cube with a side length of 4 cm, V = 4 cm × 4 cm × 4 cm = 64 cm³. Therefore, the correct answer is 64 cm³.

Tags

CCSS.7.G.B.6

If a right rectangular prism is sliced perpendicular to its base, what shape is the cross-section?

• Circle

• Triangle

• Rectangle

• Hexagon

Answer explanation

When a right rectangular prism is sliced perpendicular to its base, the resulting cross-section is a rectangle, as the cut maintains the same width and height as the base.

Tags

CCSS.7.G.A.3

A right rectangular pyramid is sliced perpendicular to its base through the apex. What is the shape of the resulting cross-section?

• Triangle

• Rectangle

• Trapezoid

• Circle

Answer explanation

When a right rectangular pyramid is sliced perpendicularly through the apex, the cross-section forms a triangle. This is because the apex and the base edges create triangular shapes in the resulting slice.

Tags

CCSS.7.G.A.3

Find the surface area of a cube with a side length of 3 cm.

• 18 cm²

• 27 cm²

• 54 cm²

• 81 cm²

Answer explanation

The surface area of a cube is calculated using the formula 6a², where a is the side length. For a side length of 3 cm, the surface area is 6 * (3 cm)² = 6 * 9 cm² = 54 cm². Thus, the correct answer is 54 cm².

Tags

CCSS.7.G.B.6

What is the area of a rectangle with a length of 10 cm and a width of 4 cm?

• 14 cm²

• 24 cm²

• 40 cm²

• 50 cm²

Answer explanation

To find the area of a rectangle, multiply the length by the width. Here, area = 10 cm × 4 cm = 40 cm². Therefore, the correct answer is 40 cm².

Tags

CCSS.7.G.B.6

A right rectangular prism is sliced diagonally from one edge to the opposite edge. What is the shape of the cross-section?

• Triangle

• Rectangle

• Trapezoid

• Parallelogram

Answer explanation

When a right rectangular prism is sliced diagonally from one edge to the opposite edge, the resulting cross-section is a triangle. This is because the slice connects two vertices, forming a triangular shape.

Tags

CCSS.7.G.A.3

Calculate the volume of a right rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 2 cm.

• 15 cm³

• 20 cm³

• 25 cm³

• 30 cm³

Answer explanation

To find the volume of a right rectangular prism, use the formula: Volume = length × width × height. Here, Volume = 5 cm × 3 cm × 2 cm = 30 cm³. Thus, the correct answer is 30 cm³.

Tags

CCSS.7.G.B.6