1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali [406]
2 years ago
6

Find the volume and surface area of the prism below

Mathematics
1 answer:
Nata [24]2 years ago
4 0

Answer:

a) The volume of the prism is 660 mm³

b) The surface area of the prism is 514 mm²

Step-by-step explanation:

The given prism for which we are to find the volume and the surface area shows the dimensions of the sides

a) To find the volume, we can consider the prism as a composite figure as follows;

The topmost cuboid with dimensions (15 - 2×3) mm, 3 mm, and 9 mm

Therefore, the volume of the topmost cuboid, V₁, is given as follows;

V₁ = 5 mm × 3 mm × 9 mm = 135 mm³

The volume of the cuboid on which the top cuboid rest, V₂, is given as follows;

V₂ = 15 mm × 5 mm × 7 mm = 525 mm³

The volume of the prism, V = V₁ + V₂

Therefore, we have;

V =135 mm³ + 525 mm³ = 660 mm³

The volume of the prism, V = 660 mm³

b) The surface area of the prism is given as follows;

The surface area of the top cuboid, SA₁, is given as follows;

SA₁ = 9 mm × 5 mm + 2 × 3 mm × 9 mm + 2 × 3 mm × 5 mm = 129 mm²

The surface area of the larger cuboid, SA₂, is given as follows;

SA₂ = 2 × 15 mm × 7 mm + 2 × 5 mm × 7 mm + 2 × 3 mm × 5 mm + 15 mm × 5 mm = 385 mm²

The surface area of the prism, SA = SA₁ + SA₂

∴ The surface area of the prism, SA = 129 mm² + 385 mm² = 514 mm²

You might be interested in
How would you factor 5x²+17x+6=0
labwork [276]
5x^2+17x+6=0
(5x+2)(x+3)=0
5x+2=0 x+3=0
x=-2/5 x=-3
Cheers,Irys
6 0
3 years ago
Find the volume of a cube where the length of each side is 6 centimeters.
Marrrta [24]

hope it will help u..........

6 0
3 years ago
Number 53
Solnce55 [7]
X-intercepts
f(x) = 0

4x² - 15x - 4 = 0

4x² - 16x + x - 4 = 0

4x(x - 4) + 1(x - 4) = 0

(x - 4)(4x + 1) = 0 ⇔ x - 4 = 0 or 4x + 1 = 0

x = 4 or 4x = - 1 ⇒ x = - 1/4

Answer: -1/4 and 4.
8 0
3 years ago
Wnite and graph an inequality for the given solution set .<br> {x | x &lt; 7}
Svetradugi [14.3K]

Answer:

im not in high school sorry

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The formula n(n+1)/2
mafiozo [28]
The answer is in the attached image

5 0
2 years ago
Other questions:
  • Whats the reciprocal<br> of 23
    13·2 answers
  • Juvi is baking oatmeal raisin cookies and fudge brownies! To make 4 batches of brownies, Juvi needs 2/3 of a cup of sugar. She a
    11·1 answer
  • PZLZZ ANS SNEJSJDJSWJEJSJSH PLZZZ
    13·1 answer
  • the average orbital distance from the sun to mercury is 0.39 astronomical units. the average orbital distance from the sun to Ve
    9·1 answer
  • For the function defined by f(t)=2-t, 0≤t&lt;1, sketch 3 periods and find:
    10·1 answer
  • Find the value of e, the margin of error, for c = 0.95, n = 15 and s = 5.6.
    7·1 answer
  • The point (2,-4) is on the line given by which equation below?
    14·1 answer
  • PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·1 answer
  • What's the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B33%20%5Ctimes%203%20%2B%201%7D%20" id
    13·1 answer
  • Melody's friend Leena earns $15 per hour as a lab technician plus an extra $300 per week for singing at a club on the weekend.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!