Surface Areas of Prisms, Pyramids, Cylinders & Cones

What is the surface area of a rectangular prism?

• SA = 2lw + 2lh + 2wh

• SA = lw + lh + wh

• SA = 2l + 2w + 2h

• SA = l + w + h

Tags

CCSS.7.G.B.6

How do you find the surface area of a composite solid?

• Calculate the surface area of each individual solid and then add them together, subtracting any overlapping areas.

• Measure the height and width of the composite solid and multiply them together.

• Use the formula for the surface area of a cube, regardless of the shapes involved.

• Estimate the surface area by visual inspection and rounding up.

Define lateral area in the context of prisms and pyramids.

• Lateral area is the sum of the areas of all the sides (faces) of a solid, excluding the base(s).

• Lateral area is the total surface area of a solid including the base(s).

• Lateral area is the area of the base of a solid multiplied by its height.

• Lateral area is the perimeter of the base multiplied by the height of the solid.

How do you find the surface area of a triangular prism?

• SA = Base Area + Lateral Area = @@\frac{1}{2}bh + (Perimeter \times h)@@

• SA = Base Area + Lateral Area = @@b \times h@@

• SA = Base Area + Lateral Area = @@\frac{1}{2}b^2 + (Perimeter \times h)@@

• SA = Base Area + Lateral Area = @@b + h@@

Tags

CCSS.7.G.B.6

How do you round surface area to the nearest tenth?

• Look at the tenths place and round up if it's 5 or more.

• Look at the hundredths place; if it's 5 or more, round up the tenths place by one.

• Always round down to the nearest whole number.

• Ignore the hundredths place and keep the tenths place the same.

How do you apply the surface area formulas in real-life scenarios?

• To calculate the amount of paint needed for a wall or the material required for packaging.

• To determine the volume of a container.

• To measure the temperature of a surface.

• To estimate the weight of an object.

What is the significance of the base area in calculating surface area?

• It is irrelevant to the total surface area.

• It contributes to the total surface area of solids like prisms and pyramids, affecting the overall measurement.

• It only affects the volume of the solid.

• It is only important for two-dimensional shapes.

How do you calculate the surface area of a regular pyramid?

• SA = Base Area + Lateral Area = Base Area + @@\frac{1}{2} \times Perimeter \times Slant Height@@

• SA = Base Area + Lateral Area = Base Area + @@\frac{1}{3} \times Base Area \times Height@@

• SA = Base Area + Lateral Area = Base Area + @@Base Area \times Height@@

• SA = Base Area + Lateral Area = Base Area + @@\frac{1}{4} \times Perimeter \times Height@@

Tags

CCSS.7.G.B.6

What is the difference between total surface area and lateral surface area?

• Total surface area includes the area of the base(s) and the lateral area, while lateral surface area only includes the area of the sides.

• Total surface area is the sum of the lateral area and the area of the top base only.

• Lateral surface area includes the area of the base(s) and the total surface area includes only the sides.

• Total surface area is always greater than lateral surface area by a fixed amount.

What is the formula for the surface area of a cone?

• SA = πr^2 + πrl

• SA = 2πr^2 + 2πrh

• SA = πr^2 + h

• SA = πr^2 + πr^2l