7th math - Surface Area of Pyramids

Which expression represents the total surface area, in square centimeters, of the square pyramid? A square pyramid. The square base has side lengths of 8.2 centimeters. The triangular sides have a height of 10.3 centimeters.

(8.2) (8.2) + 4 (one-half (8.2) (10.3))

What is the surface area of a square pyramid if the base has an area of 16 cm2 and the lateral faces have a slant height of 12 cm?

112 cm2

What is the total surface area of the square pyramid? A square pyramid. The square base has side lengths of 8 inches. The triangular sides have a height of 5 inches. __________ square inches

144

What is the surface area of the square pyramid below? A square pyramid. The square base has side lengths of 6 centimeters. The triangular sides have a height of 10 centimeters.

156 cm2

What is the total surface area of this rectangular pyramid? A rectangular pyramid. The rectangular base has a length of 12 feet and width of 6 feet. 2 triangular sides have a base of 12 feet and height of 8 feet. 2 triangular sides have a base of 6 feet and height of 9.5 feet. _____________ square feet 149 153 225 297

225

What is the surface area of the rectangular pyramid below? A rectangular pyramid. The rectangular base has a length of 18 feet and width of 10 feet. 2 triangular sides have a base of 18 feet and height of 14.1 feet. 2 triangular sides have a base of 10 feet and height of 16 feet.

593.8 ft2

What is the total surface area of the rectangular pyramid below? A rectangular pyramid. The rectangular base has a length of 16 feet and width of 12 feet. 2 triangular sides have a base of 16 feet and height of 14 feet. 2 triangular sides have a base of 12 feet and height of 15 feet. 404 square feet 596 square feet 788 square feet 1,000 square feet

596 sq ft

What is the total surface area of the rectangular pyramid below? A rectangular pyramid. The rectangular base has a length of 16 feet and width of 12 feet. 2 triangular sides have a base of 16 feet and height of 14 feet. 2 triangular sides have a base of 12 feet and height of 15 feet.

596 square feet

Garry is studying a square pyramid and wants to draw a net of the figure to help determine its surface area. Which net represents a square pyramid?

A net with a square base and 4 triangular sides.

Vikram is studying the square pyramid below. A square pyramid. The square base has side lengths of 34.2 inches. The triangular sides have a height of 28.4 inches and length of 33.2 inches. To find the surface area of the pyramid, in square inches, Vikram wrote (33.2) (34.2) + 4 (one-half (34.2) (28.4)). What error did Vikram make?

He used the wrong expression to represent the area of the base of the pyramid.

A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney's pyramid compares to the surface area of the original pyramid?

Sydney's pyramid will have a surface area that is greater than the original pyramid's but not double the area because the slant height is not used when finding the area of the base.

Which statements are true about the rectangular pyramid below? Select three options. A rectangular pyramid. The rectangular base has a length of 6 centimeters and width of 4 centimeters. 2 triangular sides have a base of 6 centimeters and height of 6 centimeters. 2 triangular sides have a base of 4 centimeters and height of 4.6 centimeters. The area of the base is 24 cm2. There are four lateral faces. All the lateral faces are congruent. The total surface area of the figure is 66.4 cm2. At least one of the lateral faces has an area equal to 24 cm2.

The area of the base is 24 cm2. There are four lateral faces. The total surface area of the figure is 66.4 cm2.

Tracy used the expression (25.6) (16.2) + (25.6) (36.5) + (16.2) (37.8) to find the surface area, in square centimeters, of the rectangular pyramid below. A rectangular pyramid. The rectangular base has a length of 25.6 centimeters and width of 16.2 centimeters. 2 triangular sides have a base of 25.6 centimeters and height of 36.5 centimeters. 2 triangular sides have a base of 16.2 centimeters and height of 37.8 centimeters. Which statement best describes her work?

Tracy's answer will be correct because she made use of the fact that 2 (one-half) = 1 in her expression.

What is the total surface area of this rectangular pyramid? A rectangular pyramid. The rectangular base has a length of 78 meters and width of 50 meters. 2 triangular sides have a base of 78 meters and height of 52 meters. 2 triangular sides have a base of 50 meters and height of 60 meters. _____________ square meters

not - 7056

The net below can be folded to form a square pyramid. A square pyramid. The square base has side lengths of 9 inches. The triangular sides have a height of 6.1 inches and side length of 7.6 inches. What is the surface area of the pyramid?

190.8 square inches

Gio is studying the rectangular pyramid below. A rectangular pyramid. The rectangular base has a length of 9.6 millimeters and width of 4.2 millimeters. 2 triangular sides have a base of 9.6 millimeters and height of 4.8 millimeters. 2 triangular sides have a base of 4.2 millimeters and height of 6.5 millimeters. He believes the surface area, in square millimeters, can be found by simplifying this expression. (4.2) (9.6) + one-half (4.2) (6.5) + one-half (9.6) (4.8) What error is Gio making?

He used an expression for surface area that did not include all the faces.

Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces. Which statement best describes the faces of the pyramid?

one square and four triangles