The volume of the rectangular solid is: 11,960 units³.
<h3>How to Find the Volume of a Rectangular Solid?</h3>
The formula to find the volume of a rectangular solid is: (length)(width)(height).
Given the dimensions as:
- Length = 20 units
- Width = 23 units
- Height = 26 units
Volume = (20)(23)(26)
Volume of the rectangular solid = 11,960 units³.
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Answer:
Step-by-step explanation:
First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.
6x + 10 - 2x = 7 + 23
4x + 10 = 7 + 23
4x + 10 = 30
Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.
4x + 10 = 30
4x = 20
x = 5 is the final answer.
9880 different possibilities are there in Sally's new combination option second 9880 is correct.
<h3>What is permutation and combination?</h3>
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Total unique numbers consists in a Sally locker = 3
From the digits 0 to 39
Total numbers = 40
Apply combination formula:
= C(40, 3)
= 40!/(3!37!)
= 9880
Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.
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To find the width, divide the area by the length.
Width = 375 / 25
Width = 15 feet.
