Surface Area
What are the steps (in order) to calculate the surface area of a rectangular prism? (Hint: I'm looking for 4 steps)
1) Identify the rectangles you need to find the area of
2) Find the area of those rectangles using L x W
3) Multiply the areas of the 3 rectangles by 2
4) Add each product to find the total surface area
What is the formula for finding the Volume?
V = L x W x H
What is the formula for finding the area of a trapezoid?
A = b1 + b2
_________________ h
2
What are the steps for finding the surface area of a triangular prism? (I'm looking for 4)
1) Identify which shape you are finding the area of
2) Find the area for the rectangles and triangle
3) Find the duplicate shape and multiply by 2
4) Once you have all the areas, add them up to get the surface area
The rectangular prism has different measurements for the length, width and height: 8cm, 4cm and 5cm
Find the volume (Write out all the steps!)
V = 160 cm3
For full points you must write out each step!
The upper base is 44cm
The lower base is 12 cm
The height is 3cm
The base of the triangle on a triangular based prism is 4 meters, and the height of the triangle is 6 meters. What is the total area of the two triangular faces?
Area of both triangles = 24m2
What is the volume of a fish tank that has a length of 36cm, a height of 280mm and is 40 cm wide?
* Units of measure must be the same
280mm = 28cm
V= L x W x H
36cm x 40cm x 28cm
V = 40 cm 3
One base is 12m the other base is 6m and the height is 10m
What is the area of this trapezoid? (Write out all your steps)
A = 90 cm2
If the triangular prism has two triangular faces and three rectangular faces, and the total surface area is 72 square meters, what is the combined area of the three rectangles?
54m2
A rectangular prism has a length of 12 cm, a width of 5 cm, and a height of 8 cm. A smaller rectangular prism is removed from it, with dimensions of 4 cm for length, 5 cm for width, and 4 cm for height. What is the volume of the remaining shape?
432cm2
A trapezoid has one base of 8 meters and the other base is 16 meters. The height is 9 meters. What is the area of the trapezoid?
A = 108 m2
The area of a trapezoid is 75 square meters. If one base is 12 meters and the other base is 18 meters, what is the height of the trapezoid?
Height = 5m2