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
cupoosta [38]
3 years ago
5

A rectangular solid has sides of 10 cm, 6.5cm and 8.3 cm. What is the volume and the surface area?

Mathematics
1 answer:
dangina [55]3 years ago
3 0
Part (1):
Volume of the rectangular prism can be calculated as follows:
volume = length * width * height
We are given the three dimensions, therefore, all we need to do is substitute in the above equation as follows:
volume = 10 * 6.5 * 8.3
volume = 539.5 cm³

Part (2):
Surface area of rectangular prism an be calculated as follows:
Surface area = 2(length*width) + 2(width*height) + 2(length*height)
Surface area = 2(10*6.5) + 2(6.5*8.3) + 2(10*8.3)
Surface area = 130 + 107.9 + 166
Surface area = 403.9 cm²

Hope this helps :)
You might be interested in
Can you please help me:)
svp [43]

Answer:

c

Step-by-step explanation:

yes c

4 0
2 years ago
Evaluate for the given values of the variables.
Troyanec [42]

Answer:

17) 26

18) 66

19) 78

20) 145

Step-by-step explanation:

#17) 8 + 3n for n = 6

8 + 3*(6)

8 + 18 = 26

#18) (8 + 3)n for n = 6

(8 + 3)*6

(11)*6 = 66

#19) 90 - 4d for d = 3

90 - 4*(3)

90 - 12 = 78

#20) 7x + 2y for x = 15, y = 20

7*(15) + 2*(20) = 145

7 0
3 years ago
10. Write quadratic function with zeros -4, -7
Rashid [163]
Hope that kinda helps.

7 0
3 years ago
Prove ΔPAB is isosceles.
Licemer1 [7]

Answer:

See explanation

Step-by-step explanation:

If PX\cong PY, then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

\angle 1\cong \angle 2

and

m\angle 1=m\angle 2

Angles 1 and 3 are supplementary, so

m\angle 3=180^{\circ}-m\angle 1

Angles 2 and 4 are supplementary, so

m\angle 4=180^{\circ}-m\angle 2

By substitution property,

m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3

Hence,

\angle 3\cong \angle 4

Consider triangles APX and BPY. In these triangles:

  • PX\cong PY - given;
  • \angle 5\cong \angle 6 - given;
  • \angle 3\cong \angle 4 - proven,

so \triangle APX\cong \triangle BPY by ASA postulate.

Congruent triangles have congruent corresponding sides, then

AP\cong BP

Therefore, triangle APB is isosceles triangle (by definition).

6 0
3 years ago
What is the difference between a rate that is compounded annually and a rate that is compounded semiannually
8090 [49]

Answer:

the rate compounded semi-annually is compounded twice in a year. thus, this rate is higher than the rate compounded annually which is compounded once in a year

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

For example, there are two banks

Bank A offers 10% rate with semi-annual compounding

Bank B offers 10% rate with annual compounding.

If you deposit $100, the amount you would have after 2 years in each bank is

A = 100x (1 + 0.1/2)^4 = 121.55

B = 100 x (1 + 0.1)^2 = 121

The interest in bank a is 0.55 higher than that in bank B

3 0
2 years ago
Other questions:
  • Solve the system of equations by substitution.<br> x + y = <br> x + 7y = 8
    15·2 answers
  • Lou's employer covers 70% of the cost of a $3800-per-year health insurance plan and 90% of the cost of a $1200per-year disabilit
    5·2 answers
  • I don’t understand how to find x. Please explain!
    7·2 answers
  • What is the equation of the line with a slope of 3/4 that goes through the point (4,1) in slope-intercept form ?
    12·1 answer
  • Prove that sec^2θcosec*2θ-2-cot^2θ=tan2θ
    10·1 answer
  • Find the number of permutations that can be formed from all letters in the word connecticut
    12·1 answer
  • If "a" is a solution to the equation 5 + 6a<br> = 7a-3, then what is the value of 2a?
    13·1 answer
  • Been working on #11 for too long thanks :)
    13·2 answers
  • -1 subtracted by 2.5 ​
    5·1 answer
  • A- 416<br> B- 72<br> C- 36<br> D- 208
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!