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Nezavi [6.7K]
2 years ago
11

Find the volume of the triangular prism

Mathematics
2 answers:
juin [17]2 years ago
7 0

Answer:

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Step-by-step explanation:

Alborosie2 years ago
7 0

Answer:

70

Step-by-step explanation:

5*4*7=140/2=70

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The 7th graders at Lincoln Avenue School were helping to renovate a playground for the kindergartners at a nearby elementary sch
aliina [53]

Answer: The students will need 90 bags of sand to cover the rectangular area under the large swing set.

Step-by-step explanation: First of all the area of the small and large swing sets is given, all measured in feet. The sand under both swing sets was supposed to be 15 inches deep, but was found to be only 12 inches deep. The rectangular area under the small swing set was measured as 9 feet by 12 feet which gives an area measurement of 108 feet squared. In order to fill up this area by an extra depth of 3 inches, the students had to use up 40 bags of sand.

They would need to also fill up the rectangular area under the large swing set by a depth of 3 inches. However, the dimensions are different because the area under the large swing set has its length 1.5 times as long as that of the small swing set and same thing applies to its width, which is also 1.5 times that of the small swing set. This means the dimensions of the large swing set are derived as follows;

Large swing length = 9 * 1.5

Large swing length = 13.5

Large swing width = 12 * 1.5

Large swing width = 18

If the length and width of the rectangular area under the large swing set are now given as L = 13.5 and W = 18, then the area becomes;

Area = L * W

Area = 13.5 * 18

Area = 243 feet squared

We can now apply the ratio of both areas of the different swing sets to determine the correct number of bags of sand needed for the area under the large swing set.

The ratio of both areas is derived as

Ratio = 108 : 243

Ratio = 4 : 9

Let x be the number of bags of sand needed for the area under the large swing set. You now have;

4 : 9 = 40 : x

This can be properly expressed mathematically as,

4/9 = 40/x

By cross multiplication you now have,

4x = 9 * 40

4x = 360

Divide both sides of the equation by 4

x = 90

Therefore, the students will need 90 bags of sand cover the rectangular area under the large swing set.

8 0
3 years ago
Carly's age is 3 more than twice her sister's age, s. Which of the following expressions represents Carly's age?
vlada-n [284]

Answer:

x=3+2s

Step-by-step explanation:

If Carly's age be considered as x and Carly's sister age be considered as s then

The expression is as follows

x=3+2s

3 0
3 years ago
Read 2 more answers
How many seconds are in 100,000,000 minutes?
bekas [8.4K]

So, dimensional analysis will help with this


100000000min *\frac{60sec}{1min}=6000000000 \\or\\6\times10^9

Hope this helps!

8 0
3 years ago
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a construction worker brought several bottles of juice for $3 at that conventional store she paid for them with $20 bills.if j r
Alexxandr [17]
20 - 3j <== ur expression
5 0
3 years ago
Please help what is the answer?
anastassius [24]

Answer:

I’m pretty sure it is 148.5

Step-by-step explanation:

Triangle Volume=lwh divided by 2

5 0
2 years ago
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