Area and Volume

The tent shown is a right triangular prism. The bases of the prism are isosceles triangles. b= 4m, h= 3.5 m and l = 12m. Find the volume of the tent, including the floor.

• 73 $m^3$

• 84 $m^3$

• 154 $m^3$

• 62 $m^3$

Find the area of this circle when r= 3 units.

• $8\pi$ unit sq.
  

• $3\pi^2$ unit sq.

• $9\pi$ unit sq.

• $6\pi$ unit sq.

This diagram (called "net") shows a cylinder. If r= 2 and h= 5, find the volume of this cylinder.

• $20\pi$ unit cubed

• $50\pi$ unit cubed

• 20 unit cubed

• 31.4 unit cubed

If you create a 3D solid using this diagram (net), what is the name of this figure?

• cylinder

• triangular prism

• cube

• triangular pyramid

This net shown is a box. Find the volume of this box.

• 36 $cm^3$

• 54 $cm^3$

• 24 $cm^3$

• 72 $cm^3$

Find the missing side, c, from this picture. 

• 2.52 cm

• 3.55 cm

• 3.13 cm

• 2.84 cm

Find the angle M in this triangle.

• 27.4 degrees

• 29.1 degrees

• 31.9 degrees

• 32.2 degrees

The volume of this cone is  $109.2\pi$  , and the diameter of the base is 12. Find the height of this cone. 

• 8.8

• 11.9

• 8.2

• 9.1

What is the difference between "volume" and "surface area"?

• Volume is another name of surface area.

• Volume is the amount of space inside of a solid, and surface area is the sum of the areas of all faces on a solid.

  
  

  El volumen es la cantidad de espacio dentro de un sólido, y el área de superficie es la suma de las áreas de todas las caras en un sólido.

• Surface area is the amount of space inside a solid, and volume is how long a side of one face is.

  
  

  El área de superficie es la cantidad de espacio dentro de un sólido, y el volumen es cuánto tiempo es un lado de una cara.

• The volume is always greater than the surface area of a box.

Which of these geometry topics are your favorite ones? Choose all that apply.

• volume of a 3D solid

• trigonometric ratios (SOH, CAH, TOA)

• Pythagorean Theorem

• area of a shape (triangle, circle, or rectangle)

• perimeter of a shape