Surface Area
Find SA of a prism with 3×4×5 cm.
94 cm square
Find the circumference of a circle with r = 7 cm.
14 pi
A cylinder has radius 3 cm and height 10 cm. Find lateral area (no top/bottom)
60 pi
A shape is a rectangle 4×8 cm with a semicircle on top (diameter = 8). Find the area of the semicircle
8pi
A triangular prism has a triangular base with b = 6 cm, h = 4 cm, and prism length 10 cm. Find the area of the two triangular faces.
48 cm square
Write an expression for surface area of a prism with dimensions x, 3, 2.
2(3x+2x+6)=2(5x+6)
A circle has areaA = 49 pi. find the radius
r = 7
A cylinder has volume V = 50\pi and radius 5. Find the height
h = 2
A composite shape includes a square of side x and a triangle of area: 0.5(x)(x). Write the total area
x^2 + (x^2/2) = 3x^2/2
A triangular prism has base side lengths 3 cm, 4 cm, 5 cm. Find the perimeter of the base.
12cm
A prism’s SA is 2(7x + 5x + 10). What are its dimensions?
Lengths: 7, 5, and 10 (or multiples)
A circle’s circumference is 10 pi. Write the equation to solve for r.
2r pi = 10 pi
A cylinder has radius x and height 4. Write the surface area formula.
2πx^2 + 8πx
A composite shape is a rectangle 5×(x+2) and a semicircle of radius 2. Write total area expression.
5(x+2)+2π
A triangular prism has a base triangle with base = (2x − 3) and height = (x + 1).
Write a simplified algebraic expression for the area of the triangular base
A=0.5(2x−3)(x+1)=x^2−x−3/2
A rectangular prism has SA 150 cm² and dimensions 5 cm × 3 cm × h. Solve for h.
h = 2.5
A circle has diameter 2x. Write an expression for area.
x to the power of 2, times, pi
A cylinder has height 3x and radius 2x. Write expression for volume.
12 times pi times x to the power of 3
A composite shape has a circle radius 3 attached to a square of side 3. What is the total perimeter?
3+3+3+3+6π=12+6π
A triangular prism has base b = x + 2, height h = 3, and length 12. Write an expression for total lateral area.
36(x+2)
A rectangular prism has SA given by 2(xy + 3x + 3y). What are its dimensions?
x, y, and 3
The area of a circle is equal to its circumference. Solve
πr2=2πr
r = 2
A cylinder’s SA is 100π, radius is 5. Solve for height
h = 5
A shape consists of two rectangles: (x × 4) and (2 × (x+3)). whats the area?
4x+2x+6=6x+6
A right triangular prism has base edges x, x, and square root of 2x Find the expression for the surface area of both triangular bases.
x to the power of 2