Given:
In triangle XYZ, x = 27 cm, y = 79 cm and .
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
Putting the given values in the above formula, we get
Taking square root on both sides.
Approx the above value to the nearest number and side length cannot be negative. So,
Therefore, the length of z is about 102 cm.
The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base inches,
The width of the base inches, and
The height of the exhibit inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;
By substituting the values, we get
The surface area of the exhibit is 1,638 cubic inches.