All categories

3 years ago

Two similar prisms have heights 4 cm and 10 cm. What is the ratio of their surface areas?

Mathematics

2 answers:

TEA [102]3 years ago

6 0

4:25 is the correct answer

Alex73 [517]3 years ago

3 0

H 1 : H 2 = 4 : 10
H 1 = 2/5 H 2
and also for the base: L 1 = 2/5 L 2 and W 1 = 2/5 L 2
A 1 = 2 L 1 x W 1 + 2 L 1 x H 1 + 2 W 1 x H 1
A 2 = 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2
A 1 / A 2 = 4/25 *( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 H 2 ) /
/ ( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2 ) =
= 4/5
A 1 : A 2 = 4 : 25
Answer: B ) 4 : 25

You might be interested in

You plan to buy $12,000 in computers at a local chain store. There are two stores located about the same distance from your offi

inysia [295]

the last one is the correct answer

how I did this is i did 8.5-7=1.5

4 0

3 years ago

Elainas old bicycle had tires with a 12-inch diameter her new bicycle had tires with a 16-inch diameter what is the difference i

mr Goodwill [35]

Answer:

The difference between the circumference of the tires is 12.56 inches.

Step-by-step explanation:

Given:

Diameter of old bicycle tires = 12 inch

Diameter of new bicycle tires = 16 inch

We need to find the difference in circumference of the tires.

Solution:

First we will find the circumference of Old bicycle tires.

Circumference can be calculated by π times diameter.

Circumference of Old bicycle tire = $\pi \times 12 = 37.68\ in$

Now we will find the circumference of new bicycle tire.

Circumference of New bicycle tire = $\pi \times 16 = 50.24\ in$

Now to find the difference between the circumference of the tires we will subtract Circumference of New bicycle tire from Circumference of Old bicycle tire we get;

framing in equation form we get;

difference between the circumference of the tires = $50.24-37.68 =12.56\ in$

Hence The difference between the circumference of the tires is 12.56 inches.

5 0

3 years ago

A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wi

Virty [35]

Answer:

A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?

OA 5ft

OB. 3 ft

OC. 41

OD. 5.5 ft

6 0

2 years ago

Will give brainliest!!! The MTC Theater holds 250 people, and last night’s performance sold out! Students under the age of 16 pa

MakcuM [25]

60 children tickets and 190 adult tickets were sold.

Step-by-step explanation:

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910

Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190

4 0

2 years ago

What is the area of the rectangle?<br><br> [1] un2

mezya [45]

(-2,3) to (2,-3)

6^2 + 4^2 = c^2

c = 7.21

————

(-2,3) to (1,5)

2^2 + 3^2 = c^2

c = 3.61

————

3.61 * 7.21 = approx. 26.03

The area is 26.03un^2

5 0

3 years ago