Find the volume of the following. Please round your answer to the nearest tenth. Please do not put units.
1 answer:
Answer:
The volume of the given figure is 150 mm³
Step-by-step explanation:
The formula of the volume of the triangular pyramid is V = AH, where
- A is the area of its base
- H is its height
The formula of the area of a triangle is A = bh, where
- b is the length of its base
- h is the length of its height
In the given figure
∵ The pyramid has a triangular base
∵ The triangle has a base of 12 mm and a height of 7.5 mm
∴ b = 12 mm and h = 7.5 mm
→ By using the 2nd formula above, find the area of the base
∴ A = (12)(7.5)
∴ A = 45 mm²
∵ The height of the pyramid is 10 mm
∴ H = 10 mm
∵ A = 45 mm²
→ Substitute them in the first formula above to find the volume
∴ V = (45)(10)
∴ V = 150 mm³
∴ The volume of the given figure is 150 mm³
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<h2>D. 65</h2>Step-by-step explanation:
The question lacks the appropriate diagram. Find the diagram attached.
The triangle is a right angled triangle that is made of of three sides namely the opposite, the adjacent and the hypotenuse (the longest side). According to the diagram, the longest side is the side with length x. To get the side length x, we will use the Pythagoras theorem as shown;
hyp² = opp²+adj²
hyp² = 33²+56²
x² = 1089+3136
x² = 4225
take the square root of both sides
√x² = √4225
x = 65
<em>Hence the unknown side length x is 65</em>
<h3>Answer: 
</h3>
Step-by-step explanation:
- Find the distance between points A and B by the formula:
- By the condition we are told to find 2/5 the distance between points A and B
- We can also find the distance between them through the Pythagorean theorem we will complete a right triangle
- AB²=AC²+BC²
- AB=√AC²+BC²
- Where AC=10 ; BC=15
- AB=
- Then 2/5* AB=2