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3 years ago

What is the volume of the square pyramid? Round to the nearest tenth.

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

4 0

Answer:

$V=718.7\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the square pyramid is equal to

$V=\frac{1}{3}b^{2}h$

we have

$b=14\ cm$ ----> the length of the base of the square pyramid

$h=11\ cm$ ---> the height of the pyramid

substitute the values in the formula

$V=\frac{1}{3}(14)^{2}(11)$

$V=718.7\ cm^{3}$

You might be interested in

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

lubasha [3.4K]

Answer:

The answer is option C.

Step-by-step explanation:

The arithmetic sequence is given by

$A(n) = - 6 + (n - 1)( \frac{1}{5} )$

where n is the number of terms

For the first term

n = 1

So we have

$A(1) = - 6 + (1 - 1)( \frac{1}{5} )$

$= - 6 + (0)( \frac{1}{5} )$

$= - 6$

For the fourth term

n = 4

$A(4) = - 6 + (4 - 1)( \frac{1}{5} )$

$= - 6 + (3)( \frac{1}{5} )$

$= - 5 \frac{2}{5}$

For the tenth term

n = 10

$A(10) = - 6 + (10 - 1)( \frac{1}{5} )$

$= - 6 + (9)( \frac{1}{5} )$

$= - 4 \frac{1}{5}$

Hope this helps you

4 0

3 years ago

Solve for b: 6b+14 = -7-b

vladimir2022 [97]

Answer:

b = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

$\frac{7b}{7} = \frac{-21}{7}$

b= -3

3 0

3 years ago

Read 2 more answers

ABCD is a quadrilateral and a line through A parallel to BC meets DC at X. If angle D=angle C , prove that ADX is isosceles.

r-ruslan [8.4K]

Answer:

see picture below

Step-by-step explanation:

7 0

2 years ago

A contractor buys 16 and 3/10 tons of sand and uses 8 and 4/5 tons.how much sand is left?

Andreas93 [3]

Answer:

7.5 short tons

Step-by-step explanation:

16 3/10 - 8 4/5 = 7.5

7 0

3 years ago

Read 2 more answers

Create an expression to represent the following (picture is included below)

zheka24 [161]

Answer:

7) x + 0.09x, where x is the price of the car

8) x + 0.05x where x is the price of clothing

9) It will take michael about 9.14 minutes to eat 32 cookies.

Step-by-step explanation:

7) 9% of x is the same as 0.09x, so you can write this:

x + 0.09x, where x is the price of the car

8) same thing for this one

x + 0.05x where x is the price of clothing

9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or $\frac{21}{6}$

Because he will be eating them at the same pace, you can write an equation and solve for the variable:

$\frac{21}{6}$ = $\frac{32}{y}$

cross multiply the proportion:

21 × y = 32 × 6

solve:

21y = 192

y ≈ 9.14

It will take michael about 9.14 minutes to eat 32 cookies.

This works because they both simplify to 3.5 cookies per minute

$\frac{21}{6}$ = 3.5

$\frac{32}{9.14}$ = 3.5

6 0

3 years ago