Medicine High School

Fig. 15.20 shows a composite solid consisting of a cube of edge 28 cm and a square-based pyramid of height 16 cm. Calculate the volume of the solid.​

Answers

Answer 1

The volume of the composite solid consisting of a cube and a square-based pyramid is 26,099.2 cm³.

How to calculate volume?

Calculate the volume of the cube and the pyramid separately.

The volume of the cube is given by V_cube = s³ = 28³ = 21,952 cm³.

The volume of the pyramid is given by V_pyramid = (1/3)Bh, where B = area of the base and h = height of the pyramid.

The base of the pyramid is a square with sides equal to the base of the cube, so

B = s² = 28² = 784 cm².

Thus, V_pyramid = (1/3)(784)(16) = 4,147.2 cm³.

The total volume of the composite solid is the sum of the volumes of the cube and the pyramid, so

V_total = V_cube + V_pyramid = 21,952 + 4,147.2 = 26,099.2 cm³.

Therefore, the volume of the solid is 26,099.2 cm³.

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Related Questions

Education would look different at each level. Give an example for each level of prevention.

Primary:
Secondary:
Tertiary:

For Biomed btw

Answers

Primary prevention aims to prevent the development of a disease or injury.

How would education look at each level?

Primary prevention;

To stop the development of chronic diseases, it is important to encourage good lifestyle choices including regular exercise, a balanced diet, and quitting smoking.

Secondary prevention;

Educating people on the warning signs and symptoms of a heart attack or stroke so they can get help right away.

Tertiary prevention;

Educating people with a history of falls about the value of fall prevention measures, such as home modifications or physical therapy.

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Find an expression for the area of the shape shown below. Give your answer in its simplest form. 7x 14 10 4x Not to scale​

Answers

The expression for the area of the above compound shape is 62x. See the solution below.

How did we arrive at that?

First we reduce to compound shape to simple shapes. This becomes,


One Triangle and
One rectangle

recall that the area of a triangle is (b x h)/2

while that of a rectangle is l x w

so we have


Triangle = (3x * 4)/2 = 6x

Rectangle = 4x * 14 = 56x

Thus,

Triangle + Rectangle = 6x + 56x = 62x

Thus, the expression for the area of the shape is 62x.

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Why do you think education is a strategy that would be useful in all levels of prevention?

For Biomed btw

Answers

Education can be a useful tool in all levels of prevention in the sense that it helps individuals and the society understand the risks and consequences of human behaviors and helps them make sound decision.

What  is education?

Education is described as a purposeful activity directed at achieving certain aims, such as transmitting knowledge or fostering skills and character traits.

The levels of prevention are:

Primary preventionsecondary preventionTertiary prevention.

In conclusion, education can help individuals as well as the society to prevent a problem before it even happens.

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Which of the following would you NOT tell the patient?
a.
"My name is Jackie and I'm your CNA today."
b.
"I am going to be taking your vital signs. Is that ok?
c.
"I am going to count your respirations."
d. "I'm going to wash my hands and get my supplies."

Answers

Answer:

The statement that would NOT be appropriate to tell the patient is:

d. "I'm going to wash my hands and get my supplies."

This statement is not necessary to communicate to the patient and might not be relevant to their care. It's important to prioritize information that directly relates to the patient's well-being, comfort, or understanding of the procedures being performed.

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