Exploring Surface Area Calculations for Pyramids

What distinguishes a pyramid from a prism?

• A pyramid's sides meet at a single point.

• A pyramid has a circular base.

• A pyramid cannot have a triangular base.

• A pyramid has two bases.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

How is a pyramid named?

• By the shape at its apex.

• By the number of its faces.

• By the shape of its base.

• By its height.

What is the lateral height of a pyramid?

• The distance from the base to the apex.

• The perimeter of the base.

• The height of its triangular faces.

• The area of the base.

Tags

CCSS.7.G.B.6

How do you calculate the area of a triangle?

• Length x Width

• Base x Height

• (Base x Height) / 2

• Base + Height

Tags

CCSS.6.G.A.1

What formula is used to calculate the area of a square?

• Length x Width

• Side x Side

• Perimeter / 4

• (Base x Height) / 2

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How many faces does a triangular pyramid have?

• 5

• 6

• 4

• 3

Tags

CCSS.6.G.A.4

If a pyramid has a rectangular base measuring 7 mm by 3 mm, what is the shape of the base called?

• Circular pyramid

• Triangular pyramid

• Rectangular pyramid

• Square pyramid

Tags

CCSS.7.G.A.3

What is the key characteristic that differentiates a pyramid from a prism?

• A pyramid's sides do not meet at a point.

• A pyramid has two identical bases.

• A pyramid has a single base.

• A pyramid has only triangular faces.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What shapes make up a pyramid with a square base?

• Three rectangles and two triangles

• Four squares and one triangle

• Four triangles and one square

• Five triangles

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the total surface area of a pyramid with a square base of area 64 cm² and triangular faces with a base of 8 cm and a height of 14 cm?

• 312 cm²

• 288 cm²

• 256 cm²

• 224 cm²

Tags

CCSS.7.G.B.6