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Yuri [45]
3 years ago
8

NEED HELP WITH A MATH QUESTION WITH FINDING A SURFACE AREA OF A SQAURE PYRAMID

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

ANSWER

S.A = 125 {in}^{2}

EXPLANATION

The total surface area of a square pyramid is the area of the 4 triangular faces plus the area of the square base.

This is given by the formula!

S.A = 4 \times  \frac{1}{2} bh +  {l}^{2}

From the diagram, the base is 5 inches and the height is 10 inches.

We substitute the values to get:

S.A = 4 \times  \frac{1}{2}  \times 5 \times 10 +  {5}^{2}

This simplifies to;

S.A = 100 +  25

S.A = 125 {in}^{2}

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The area of the triangle PQR is 108 square units

<h3>How to determine the area of the triangle?</h3>

The given parameters are:

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It’s a new semester! Students are grouped into three clubs, which each has 10, 4 and 5 students. In how many ways can teacher se
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Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.

So there are 3 clubs:

  • Club A, with 10 students.
  • Club B, with 4 students.
  • Club C, with 5 students.

The possible combinations of 2 students from different clubs are

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The number of combinations for each of these is given by the product between the number of students in the club, so we get:

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For a total of 40 + 50 + 20 = 110 different combinations.

This means that there are 110 different ways in which 2 students from different clubs can be selected.

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