Category 3 surface area pyth theorem volume

Category 3:

Surface Area

Pyth Theorem

Volume

Multiple Choice

 $S\ =2\pi rh$  Find the lateral surface area of the figure.


Remember to divide the diameter by 2 to get the radius.

• 456 m²

• 1444 m²

• 1245 m²

• 816 m²

Multiple Choice

 $S\ =\ 2\pi rh\ +\ 2\pi r^2$  Find the total surface area

• 60.4 m²

• 188.4 m²

• 94.2 m²

• 881.9 m²

Multiple Choice

Find the Total Surface Area

FORMULA

Ph+2B=S

P is the Perimeter of the base and you need to add the four sides of the bottom rectangle.

B is the area of the base and you need to multiply the length and width of the bottom rectangle

• 556 cm²

• 278 cm²

• 680 cm²

• 340 cm²

Multiple Choice

Solve for lateral surface area?

P is the Perimeter of the triangular base you need to add the three sides of the triangle to get P

FORMULA

Ph = S

• 864 in²

• 832 in²

• 20,736 in²

• 2,367 in²

Multiple Choice

If a boat sailed six miles north and eight miles east, how far away is it from its original location? (find d)

 $a^2+b^2=c^2$  

• 100 miles

• 14 miles

• 10 miles

• 2 miles

Multiple Choice

Find the length of the missing side.

  $a^2+b^2=c^2$  

remember that since the leg is missing you will have to subtract

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Multiple Choice

Find the distance between the two points. 

Use the Pythagorean Theorem  $A^2+B^2=C^2$  

OR

Calculator Strategy

 $\sqrt{A^2+B^2}$  

• 8.5 units

• 10.96 units

• 11.4 units

• 15 units

Multiple Choice

 $V\ =\ \pi r^2h$  Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π

• 16.4 cm³

• 31.7 cm³

• 31.4 cm³

• 22.0 cm³

Multiple Choice

FIND THE VOLUME OF THE CONE.

FORMULA

V=(1/3)π r²h

• 14.13 in³

• 56.52 in³

• 169.56 in³

Multiple Choice

Find the Volume of the Sphere


Remember to divide the diameter 12 by 2 to get the radius

FORMULA

 $V=\frac{4}{3}\pi\ r^3$  

• 904.32 ft³

• 7,234.56 ft³

• 150.72 ft³