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Do you know how to calculate the volume of a prism?
Ok. Here it is: V = LWH The volume is the length multiplied by the width multiplied by the height.
Here is an example: |dw:1435895710114:dw|
Now you can find the volumes of the two prisms you are given.
What is 4 * 5 * 8 = ? What is 10 * 8 * 2 = ?
160 and 160
Correct. That means both of the volumes are the same. That means the answer is not choices A or D.
Now we need to find the surface areas of both prisms. Do you know how to calculate the surface area of a prism?
A prism has 6 sides. We need to find the areas of all six sides and add them all up.
There are a few shortcuts we can take. A rectangular prism always has 3 sides congruent to the other three sides. Opposite sides are congruent.
so add all the sides twice
No. Do only three sides that are different. Add them up and multiply by 2.
34 and 40
I'll show you what I mean. |dw:1435896232247:dw|
The front and back sides are congruent. The area of each one is: 4 cm * 8 cm = 32 cm^2 |dw:1435896290934:dw|
could u plz hurry i need to get to bed its 10:02
The left side and the right side are congruent. Each has an area of: 5 cm * 8 cm = 40 cm^2 |dw:1435896339020:dw| |dw:1435896356529:dw|
Ok, almost done.
The top and bottom are congruent. Each has an area of 4 cm * 5 cm = 20 cm^2 |dw:1435896416148:dw|
Add the 3 faces together and multiply by 2 to get: (32 cm^2 + 40 cm^2 + 20 cm^2 ) * 2 = 92 cm^2 * 2 = 184 cm^2 That is for prism A.
If you do the same with prism B you get: 2 * ( 10 * 2 + 8 * 2 + 10 * 8) = 2 * (20 + 16 + 80) = 2 * 116 = 232, o3 232 cm^2
so its D
Prism A: 184 cm^2 Prism B: 232 cm^2 Now you can choose between choices B and C.
No. D deals with volume. We know the volumes are the same. You need to choose between B and C which deal with surface area.
i mean b
Great. You got it!