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
hammer [34]
3 years ago
5

A pyramid has a base 16 inches x 16 inches and a slant height of 10 inches. what is the volume in cubic inches

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

  512 in³

Step-by-step explanation:

The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...

  h² +8² = 10²

  h² = 100 -64 . . . . . subtract 8²

  h = 6 . . . . . . . . . . . . take the square root of 36

Then the volume is found using ...

  V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³

The volume is 512 cubic inches.

_____

The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.

You might be interested in
1. If I get a loan of $30,000 and I promise to pay in 10 equal instalments of $3,000 each semester, how much interest in total d
Gekata [30.6K]

Answer:

yes because when you multiply 3000 by 10 that gives you a total of 30000 that you paid off

7 0
3 years ago
The cost of 5 kg of potatoes is £3.20
Tom [10]

Answer:

12kg=7.68

1.5=87

Step-by-step explanation:

I found the cost per kg

4 0
3 years ago
Solve for a<br><br> a² + 7a - 8 = 0
masya89 [10]

Answer:

a=-8

Step-by-step explanation:

5 0
3 years ago
Write the following fractions in word. 3/4, 1/5, 3/4, 1 3/5.. please help me​
Alik [6]

Answer:

"In word" as in word form?

3/4 = three fourths

1/5 = one fifth

3/4 = three fourths (again?)

1 3/5 = one and three fifths

4 0
2 years ago
Solve the following system of equations graphically on the set of axes below.
ivann1987 [24]

Step-by-step explanation:

y=-1

-1 + 4 = 3

y = x  - 6

-1 - 6= -7

Answer:

-7

6 0
2 years ago
Other questions:
  • The average grain of salt is 0.0003 meters wide. Rhinovirus, which causes the common cold, is 0.00000003 meters wide. How many t
    14·1 answer
  • Explain why any of the four operations placed between two terms 5 and -3 sqrt (8) will result in an irrational number
    11·1 answer
  • A pizza stand offer both hand- tossed and pan pizza. customer can add any combination of the six available topping.
    7·1 answer
  • Rashawn read 25 pages of his book each day until he finished the book. His book was 400 pages long.
    5·2 answers
  • Which of the following expressions is in simplified form?
    6·2 answers
  • A segment has endpoints A(-3,5) and B(2,1) find the midpoint M of the segment
    9·2 answers
  • The point (–3, –4) is reflected across the x-axis. What quadrant is the reflected point located? A. Quadrant I B. Quadrant II C.
    15·1 answer
  • Consider the radical equation (3√6-x)+4=-8. Explain why the calculation in Problem 1 does not produce a solution to the equation
    12·1 answer
  • an oil tank, which is a shape of a cylinder, is 3m high and has a diameter of 6m. the oil tank is two-thirds full. find the numb
    8·1 answer
  • What percent of 70 equals 21
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!