Launch Problem
1 answer:
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Answer:
Step-by-step explanation:
It is given that,
Length of each brick = 10 inches
Mortar between between each brick = 1 inch
For 2 bricks, we need mortar once.
For 3 bricks, we need mortar 2 times.
For 4 bricks, we need mortar 3 times.
Similarly,
For n bricks, we need mortar (n-1) times.
Total length of n bricks = 10n inches
Total length of (n-1) times mortar = 1(n-1) = n-1 inches
Total length of wall = 10n + (n-1) inches.
1 feet = 12 inches
10 feet = 120 inches
The equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long.
Therefore, the required equation is .
The volume of a prism is given by its base area multiplied by its height.
The bases are two right triangles. If we project everything on the xy plane, we can see that the vertices of the base triangle is
So, leg AB is 3 units long, and leg AC is 4 units long. This means that the area of the triangle is
The height of the prism connects, for example, points and
, so it's 5 units long. So, the volume of the prism is