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Step2247 [10]
3 years ago
6

The volume of a paper weight in the shape of a square pyramid is 48 cm3. Find the measure of one side of the base, if the height

is 9 cm.
What is the formula for the volume of a pyramid?


When you substitute the volume and height, what is the area of the base of the pyramid?

cm2
What is the length of the side of the base of the pyramid?

cm
Mathematics
2 answers:
Ulleksa [173]3 years ago
6 0

The measure of one side of the base = 4 cm

Formula for the volume of a square pyramid V=\frac{1}{3}\times a^2h

The area of the base of the pyramid = 16 cm²

Length of the side of the base of the pyramid = 4 cm

Solution:

Given data:

Volume of a square pyramid = 48 cm³

Height of the square pyramid = 9 cm

Formula for the volume of a square pyramid:

$V=\frac{1}{3}\times a^2h, where a is one side of the base and h is height.

Substitute volume and height in the formula,

$48=\frac{1}{3}\times a^2\times9

$48=a^2\times 3

Divide by 3 on both sides of the equation,

$16=a^2 – – – – (1)

Taking square root on both sides of the equation, we get

a = 4

One side of the base = 4 cm

Area of the base = side × side

It is already found in equation (1),

Area of the base = 16 cm²

Length of the side of the base of the pyramid = 4 cm.

BARSIC [14]3 years ago
4 0

The measure of one side of the base = 4 cm

Formula for the volume of a square pyramid

The area of the base of the pyramid = 16 cm²

Length of the side of the base of the pyramid = 4 cm

Solution:

Given data:

Volume of a square pyramid = 48 cm³

Height of the square pyramid = 9 cm

Formula for the volume of a square pyramid:

, where a is one side of the base and h is height.

Substitute volume and height in the formula,

Divide by 3 on both sides of the equation,

– – – – (1)

Taking square root on both sides of the equation, we get

a = 4

One side of the base = 4 cm

Area of the base = side × side

It is already found in equation (1),

Area of the base = 16 cm²

Length of the side of the base of the pyramid = 4 cm.

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-8x/-8<32/-8      

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Vinvika [58]

Answer:

133 fishes

Step-by-step explanation:

Units of food A = 400 units

Units of food B = 400 units

Fish Bass required 2 units of A and 4 units of B.

Fish Trout requires 5 units of A and 2 units of B.

i. For food A,

total units of food A required = 2 + 5

                                                 = 7 units

number of bass and trout that would consume food A = 2 x \frac{400}{7}

                                               = 114.3

number of bass and trout that would consume food A = 114

ii. For food B,

total units of food B required = 4 + 2

                                                = 6 units

number of bass and trout that would consume food B = 2 x \frac{400}{6}

                                                 = 133.3

number of bass and trout that would consume food B = 133

Thus, the maximum number of fish that the lake can support is 133.

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2 years ago
Solve 240 = 6z + c for 'c'.<br><br> show steps please
Lunna [17]

There are two ways to find or determine for the value of c. In the first method, we can use addition and subtraction to isolate the variable c from the other variables. In the second method, we can use the transposition of variables to isolate the variable c from the other variables.

So solving for the value of c:

 

<span>Using 1st method: Addition and Subtraction</span>

We are given:

240 = 6 z + c

Simply subtract 6 z on both sides:

240 – 6 z = 6 z + c – 6 z

Cancelling 6 z – 6 z on the right side:

240 – 6 z = c

or

c = 240 – 6 z

 

<span>Using the 2nd method: Transposition</span>

240 = 6 z + c

What we are going to do here is to simply transpose the variable 6 z from the right side to the left side of the equation so that we are left with c alone on the right side. Always remember that when we transpose, the symbol becomes opposite. That is:

240 + (- 6 z) = c

240 – 6 z = c

or

<span>c = 240 – 6 z</span>

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melomori [17]

we know that

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The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.

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the answer is

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