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2 years ago

HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?

Mathematics

1 answer:

Setler [38]2 years ago

8 0

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = $\frac{1}{2}(\pi r^2h)$

= $(\frac{1}{2})(\pi )(17-11)^2(6)$

= 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

= 11 × 6 × 12

= 792 cubic inches

Volume of the solid figure = 339.29 + 792

= 1131.29

≈ 1131 cubic inches

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MA_775_DIABLO [31]

The volume of any prism is equal to the area of the base times its vertical height. Since the area of the rectangular prism is a square, the volume is expressed as:

V = s²h

The surface area is equal to the total areas of the faces of the planes. This includes the two bases on top and on the bottom, and the 4 rectangular lateral faces. The rectangular lateral face has an area of its length equal to height h multiplied with the width equal to the side of the square base. So, the surface area is expressed as:

SA = 2s² + 4sh

The first time is twice the area of the base, and the second term is four times the area of the lateral face. So, we want to express the surface area only in terms of s. Therefore, let's substitute an expression in terms of s to the h term above. Let's use the given volume equal to 2 cm³.

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2 years ago

Please solve :)<br> 2y < y + 2

AlekseyPX

<h3>Answer: y < 2</h3>

Explanation:

Subtract y from both sides. This will isolate y.

2y < y+2

2y-y < y+2-y ... subtract y from both sides

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2 years ago

Dave ordered dinner for a party of 10 people. Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish d

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Answer:

The average cost of each dinner at Dave's party is <u>$5.79</u>.

Step-by-step explanation:

Given:

Dave ordered dinner for a party of 10 people.

Three people ordered the $4.75 chicken dinner, two people ordered the $4.95 fish dinner, and five had the beef dinner at a cost of $6.75 each.

Now, to find the average cost of each dinner at Dave's party.

So, we get the total amount for the dinner:

Three people ordered the $4.75 chicken dinner.

$4.75\times 3=14.25$

Two people ordered the $4.95 fish dinner.

$4.95\times 2=9.90$

Five had the beef dinner at a cost of $6.75.

$6.75\times 5=33.75$

Total amount of dinner = $14.25+9.90+33.75=\$57.90.$

Now, to get the average cost of each dinner of 10 people we divide the total amount of dinner by 10:

$57.90\div 10$

$=\$5.79.$

Therefore, the average cost of each dinner at Dave's party is $5.79.

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Answer:

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2 years ago

Rosario draws the right triangular prism shown here and calculates the volume. She then draws a second right triangular prism in

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2 years ago

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