MATH 3RD TERM-END REVIEW

What is the formula to calculate the volume of a rectangular pyramid?

• V = (1/3) * h * A

• V = h * (A1 + A2)

• V = (1/3) * (A1 + A2 + A3)

• V = (1/2) * h * (A1 + A2)

If the top base of a frustum pyramid is 4 cm by 3 cm and the bottom base is 6 cm by 5 cm with a height of 10 cm, what is the volume?

• 150.00 cm³

• 250.75 cm³

• 180.30 cm³

• 202.57 cm³

How do you calculate the surface area of a frustum rectangular pyramid?

• Surface Area = Area of top base + Area of bottom base + Area of lateral faces.

• Surface Area = 2 * Area of bottom base + Area of lateral faces.

• Surface Area = Area of lateral faces only.

• Surface Area = Area of top base only.

A frustum pyramid has a top base area of 20 cm² and a bottom base area of 50 cm². If the slant height is 8 cm, what is the surface area?

• Surface Area = 220 cm²

• Surface Area = 240 cm²

• Surface Area = 300 cm²

• Surface Area = 180 cm²

In a real-world scenario, a frustum pyramid is used as a flower pot. If the top base is 10 cm wide and the bottom base is 15 cm wide, how does the scale factor affect the volume?

• The volume is reduced by a factor of 8/27.

• The volume remains unchanged.

• The volume is increased by a factor of 27/8.

• The volume is reduced by a factor of 1/3.

Two frustum pyramids are similar. If the scale factor of their corresponding dimensions is 3:5, how does this affect their volumes?

• The volumes of the frustum pyramids are equal.

• The volumes of the frustum pyramids are in the ratio 27:125.

• The volumes of the frustum pyramids are in the ratio 9:25.

• The volumes of the frustum pyramids are in the ratio 125:27.

If a frustum pyramid has a height of 12 cm and the top base is 5 cm by 4 cm while the bottom base is 10 cm by 8 cm, what is the volume?

• 720 cm³

• 560 cm³

• 320 cm³

• 480 cm³

Graph the linear function that represents the relationship between the height of a frustum pyramid and its volume. What does the graph look like?

• The graph is a zigzag pattern that fluctuates with height.

• The graph is a straight line that decreases as height increases.

• The graph is a flat line with no change in volume as height increases.

• The graph is a curve that increases as height increases.

If the dimensions of a frustum pyramid are doubled, how does the surface area change?

• The surface area remains the same.

• The surface area increases by a factor of 8.

• The surface area decreases by a factor of 2.

• The surface area increases by a factor of 4.

Explain how congruence and similarity apply to frustum pyramids in terms of their dimensions and volume.

• Volume of similar frustums is the sum of their dimensions' ratios.

• Congruence applies to frustums with congruent bases and equal height, while similarity applies to frustums with proportional dimensions; volume ratios for similar frustums are the cube of the ratio of their dimensions.

• Frustums with different base shapes are always congruent.

• Congruence applies only to frustums with different heights.