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3 years ago

Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4

Mathematics

2 answers:

tigry1 [53]3 years ago

6 0

Answer:

- The area of the base of the pyramid, B, is 24 cm

- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

Step-by-step explanation:

Volume of a rectangular based pyramid = 1/3{Base area × Height}

Base Area = Length × Breadth

Volume = 1/3{(Length × Breadth) × Height}

Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4

centimeters by 6 centimeters

Base Area = 4cm × 6cm

Base area = 24cm²

If Height =9cm

Volume of the pyramid = 1/3 × 24 × 9

Volume = 24 × 3

Volume of the pyramid = 72cm³

If the shape is a prism, the volume will be base area × height

= 24 × 9

= 216cm³

It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.

Nezavi [6.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Which of the following types of graphs is best for plotting the mean, median, and mode of data?

frutty [35]

Answer:

Stem-and-leaf. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data.

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3 years ago

A field is in the shape of a rectangle 5/6 mile long and 3/4 mile wide. What is the area of the field? *

Lynna [10]

Area = length x width

Area = 5/6 x 3/4

= (5x3) / (6x4)

= 15/24

= 5/8 square miles

7 0

3 years ago

The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 2, shifted to the left by 8 units, and shifted

atroni [7]

Answer:

We start with y = g(x) = f(x)

First, we have a vertical stretch by a factor of 2.

A vertical strech by a factor of A will be g(x) = A*f(x)

then in this case A = 2, so we have g(x) = 2*f(x)

Now we have it shifted left by 8 units.

We know that f(x - A) shift right the graph by A units (A positive), here A = 8.

then we have: g(x) = 2*f(x - 8)

Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)

Then we have: g(x) = 2*f(x - 8) + 3

now, our function was f(x) = Log₅(x)

then g(x) = 2*log₅(x - 8) + 3.

7 0

3 years ago

6+q=1 <br> Help I forgot how to do these.

Helga [31]

Answer:

q=-5

Step-by-step explanation:

6+q=1

Isolate the variable by subtracting 6 from both sides of the equation

q=1-6

q=-5

4 0

3 years ago

Read 2 more answers

Convert the following metric units of weight. a. 40 centigrams to grams b. 53 milligrams to grams c. 0.54 grams to decigrams d.

liubo4ka [24]

Answer:

a) $0.4$ grams

b) $0.053$ grams

c) $5.4$ decigrams

d) $2300$ milligrams

Step-by-step explanation:

To convert centigrams to grams you have to divide by 100.

$40$ centigrams = $\frac{40}{100}$ grams

= $0.4$ grams

To convert milligrams to grams you have to divide by 1000.

$53$ milligrams = $\frac{53}{1000}$ grams

= $0.053$ grams

To convert grams to decigrams you have to multiply by 10.

$0.54$ grams = $0.54*10$ decigrams

= $5.4$ decigrams

To convert grams to milligrams you have to multiply by 1000.

$2.3$ grams = $2.3*1000$ milligrams

= $2300$ milligrams

4 0

3 years ago