Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
Answer:
125
Step-by-step explanation:
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Answer:
4
Step-by-step explanation:
The diagram shows that the one triangle can be divided into two equal right triangles. Because of this, you can use the Pythagorean Theorem to solve this problem. a and b are the two sides of the angles, and c is the hypotenuse.
The given lengths are 5 as the hypotenuse and 3 as one length. (You have 3 as a given length because the two triangles have a length of 6 on one side. 6/2 = 3)
a² + b² = c²
a² = c² - b²
a² = 5² - 3²
a² = 25² - 9²
a² = 16
a = 4
The original perimeter is 32ft.
The dimensions of the new rectangle are 72 ft wide and 24 ft long.
The new perimeter is 192 ft.
When the dimensions are multiplied by 6, the perimeter also multiplied by 6.
The answer to your problem is 1
