Volume and Surface Area of Prisms & Pyramids

Find the slant height of the pyramid.

• 28 cm
• 25 cm
• 21 cm
• 24 cm

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

The volume of a triangular pyramid is 10 cubic inches. The base is a right triangle with a length of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?

• 2.5 inches
• 8 inches
• 6.5 inches
• 5 inches

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Given a regular square pyramid with base edge 12 and lateral edge 10, find its lateral area (LA).

• 160 u²

• 144 u²

• 192 u²

• 240 u²

Find the lateral area (LA) for this figure.

• 140 in²

• 330 in²

• 70 in²

• 420 in²

Find the volume of this figure.

• 420 in³

• 550 in³

• 550sqrt(3) in³

• 420sqrt(3) in³

Find the volume of this figure. Answers will be rounded to the nearest tenth.

• 500 in³

• 363.3 in³

• 293.9 in³

• 1538.8 in³

Which of the choices below will not work for finding total surface area?

• Find the area of each face and add them together.

• Find the area of the base and multiply it by 5.

• Use this formula:

  2B + hP

• Find the lateral area and add that to twice the base.

A triangular prism has a volume of 400 cm³ and a base area of 25 cm². What is the height of the prism?

• 10 000 cm

• 5 000 cm

• 8 cm

• 16 cm

Tags

CCSS.HSA.CED.A.4

CCSS.HSG.GMD.A.3

Find the total surface area (TSA) of this figure.

• $540\sqrt{3}\ m^2$

• $540\ m^2$

• $\left(432+108\sqrt{3}\right)m^2$

• $615\sqrt{3}\ m^2$

Find the volume of this figure.

• 648sqrt(3) m³

• 648 m³

• 1296sqrt(3) m³

• 324sqrt(3) m³