equations
circles/speres/cones
triangles/Trapezoids/cubes
MISC
Cross sections
100

What is the equation for the area of a triangle?

Correct Answer: Area = (b × h)/2

100

Find the circumference of a circle with a radius of 3 inches.

Correct Answer: 18.85 inches

100

what is the volume of a cube with a base length of 4 inches?


Correct Answer: 64in

100

If you double the length of all the edges of a cube, then the volume of that cube will also double. 

True or False

Correct Answer: False

100

A sphere is cut in half.

What does the resulting cross section look like?

Correct Answer: Circle

200

What is the equation for the volume of a sphere?

volume = (4/3) * pi * r³

200

If you double the radius of a sphere, then the volume of the new sphere will be 8 times larger. 

True or False

Correct Answer: True

200

A cylinder is layed on its side _ then cut in half.

What is the resulting shape?

Correct Answer: Circle 

300

 (1/2) · (a + b) · h

This equation is the area for what shape?

Trapezoid

300

What is the volume of a sphere with a radius of 6 inches?

correct answer: 904.8in^2 

300

A can of soda is 2.4 inches tall and 1.25 inches in diameter. 

What 2-dimensional shape would be formed by a vertical cross section of the can?

Correct answer: Rectangle

400

What's the equation for the Volume of a cylinder?

Volume = pi × r2 x h

400

Find the area of a trapezoid with the following coordinates

point A- (5,1)

point B- (8,1)

point C- (10, -4)

point D- (2, -4)


Correct answer: Area=27.5

400

if you cut a cone in half vertically what is the resulting crossection?

Correct answer: Triangle

500

What's the equation for the Volume of a cone?

Volume = 1/3pi × r2 x h

500

Find the Volume of a trapezoid with the following coordinates by rotating it around the Y-axis

point A- (5,1)

point B- (8,1)

point C- (10, -4)

point D- (2, -4)

Area of a cone- Volume = 1/3pi × r2 x h

Answer: V = 117.28 

explanation- 

you would find the whole cone by continuing the outer lines up into the center.

then you would find the volume "big cone" and subtract it from the entire cone to find your answer