Geometry Surface area and Volume

What is the volume of a general pyramid? (Note: the base can be any shape)

• V = (1/3)Bh where B is the area of the base shape

• V = Bh

• V = (1/2)Bh

• V = (4/3)πr^3

What is the formula for the lateral area of a right cone?

• LA = πr²

• LA = πrl

• LA = 2πr

• LA = πr + l

What is the formula for the lateral area of a regular pyramid? (Note: Regular refers to the base having all congruent sides and angle i.e. equilateral triangles, square, regular pentagon, etc.)

• L.A. = @@rac{1}{2}lp@@ where l is the slant length and p is the perimeter of the base shape

• L.A. = @@rac{1}{3}bh@@ where b is the base area and h is the height

• L.A. = @@lp@@ where l is the slant length

• L.A. = @@rac{1}{2}b^2h@@ where b is the base length and h is the height

What is the formula for the volume of a rectangular prism?

• V = lwh

• V = l + w + h

• V = 2l + 2w + 2h

• V = l * w * h

What is the formula for the surface area of a regular pyramid? (Note: Regular refers to the base having all congruent sides and angle i.e. equilateral triangles, square, regular pentagon, etc.)

• S.A. = @@rac{1}{2}lp + B@@ where l is the slant length, p is the perimeter of the base shape, and B is the area of the base shape.

• S.A. = @@l^2 + B@@ where l is the length of the base side and B is the area of the base shape.

• S.A. = @@rac{1}{3}Bh + A@@ where B is the area of the base, h is the height, and A is the area of the lateral faces.

• S.A. = @@2rac{1}{2}lp + B@@ where l is the slant length, p is the perimeter of the base shape, and B is the area of the base shape.

How do you find the lateral area of a cylinder?

• Lateral Area = πr²h

• Lateral Area = 2πrh

• Lateral Area = πd²

• Lateral Area = 2πr²

If a box has dimensions 4 cm, 5 cm, and 2 cm, what is its volume?

• 30 cm³

• 35 cm³

• 40 cm³

• 50 cm³

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

• SA = 2πr

• SA = 4πr

• SA = 4πr²

• SA = πr²

How do you calculate the volume of a composite figure? (Note: Composite meaning combined figures that can be made up of the same or different shapes)

• Calculate the volume of each individual shape and then find their sum.

• Multiply the length, width, and height of the entire figure as one unit.

• Use the formula for the area of the base and multiply by the height of the largest shape.

• Estimate the volume by averaging the volumes of the individual shapes.

What formula is used to calculate the volume of a cylinder?

• V = πr²h

• V = 2πrh

• V = πr² + h

• V = πr²h²