All categories

3 years ago

Find the volume and surface area of this prism.

Mathematics

1 answer:

mina [271]3 years ago

8 0

Answer:

V = 408 cm cubed

SA = 558 cm squared

Step-by-step explanation:

To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V =1/2 l*w*h =1/2* 6*8*17 = 408

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.

Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.

The surface area of the prism is 48 + 510 = 558.

You might be interested in

Let f(x)=2x+2 and g(x)=x^2 State the domain of the operation: h(g(x))

faust18 [17]

Answer: the domain of f(x)=2x+2 is all real numbers and the domain of g(x)=x^2 is (0, infinity)

Step-by-step explanation:

there is no horizontal asymptote given

7 0

3 years ago

A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the

sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100 ........A

Again

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600 .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴ b = $\dfrac{600}{10}$

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0

2 years ago

The amount of an invoice is $1000, with terms 2/10, n45. The amount to be paid within the discount period is:

just olya [345]

Answer:The amount to be paid within the discount period is $980

Step-by-step explanation:

The term 2/10, n45

means that 2% discount is offered if the amount of invoice is paid within 10 days from the date of invoice .

n/45 means that the buyer will pay the full amount within 45 days if he /she does not pay within the discount period of 10 days .

Now if the amount is to be paid within the discount period, the amount will be

Amount to be paid= $1000- 2% of 1000

= $1000-20

=$980

6 0

3 years ago

P is inversely proportional to V. When V = 8, P = 5 Find a formula for Pin terms of V.

AveGali [126]

Answer:

P = $\frac{40}{V}$

Step-by-step explanation:

given P is inversely proportional to V then the equation relating them is

P = $\frac{k}{V}$

to find k use the condition when V = 8 , P = 5 , then

5 = $\frac{k}{8}$ ( multiply both sides by 8 to clear the fraction )

40 = k

P = $\frac{40}{V}$ ← equation of proportion

6 0

2 years ago

Read 2 more answers

What are these numbers from greatest to least: 7.4, 6.55, -2.47, -18.33, -6.111, 7.66, 2.99, -18.9

Gekata [30.6K]

-18.9, -18.33, -6.111, -2.47, 2.99, 6.55, 7.4, 7.66

6 0

2 years ago