Surface Area and Volume Mixed Review 1

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Question 1 of 7

What is the surface area of this Rectangular Prism?

Surface Area $=$ (88) $m^2$

Question 2 of 7

2. Question
What is the volume of this cube?
- Volume $=$ (27) $cm^3$
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Incorrect

Volume of a Cube

$V=color(darkviolet)(s)^3$

Labelling the given lengths

$color(darkviolet)(\text(side)=3)$

Use the formula to find the volume

$V$ $=$ $color(darkviolet)(s)^3$ Volume of a cube formula

$=$ $color(darkviolet)(3)^3$ Plug in the known lengths

$=$ $27$ Simplify

$=$ $27 \ cm^3$

The given measurements are in centimetres, so the volume is measured as centimetres cubed

Volume $=27 \ cm^3$

Question 3 of 7

What is the surface area of this Rectangular Prism?

Surface Area $=$ (532) $m^2$

Question 4 of 7

What is the volume of this cone?

Round your answer to

$2$ decimal places

Use

$pi~~3.14$

Volume $=$ (75.36) $mm^3$

Question 5 of 7

What is the volume of this sphere?

Round your answer to

$2$ decimal places

Use

$pi~~3.14$

Volume $=$ (2143.57) $cm^3$

Question 6 of 7

What is the surface area of this cube?

Surface Area $=$ (726) $mm^2$

Question 7 of 7

What is the volume of this Rectangular Prism?

Volume $=$ (432) $cm^3$

Surface Area and Volume Mixed Review 1

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Quiz summary

Information

1. Question

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Surface Area of a Rectangular Prism

Labelling the given lengths

2. Question

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Volume of a Cube

Labelling the given lengths

3. Question

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Surface Area of a Rectangular Prism

Labelling the given lengths

4. Question

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Volume of a Cone

Labelling the given lengths

5. Question

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Volume of a Cone

Labelling the given lengths

6. Question

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Surface Area of a Cube

Labelling the given lengths

7. Question

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Volume of a Rectangular Prism

Labelling the given lengths

Quizzes

$SA$	$=$	$2 xx (color(royalblue)(text(width)) xx color(green)(text(height)) + color(orange)(text(depth)) xx color(green)(text(height)) + color(royalblue)(text(width)) xx color(orange)(text(depth)))$	Surface area of a Rectangular Prism formula

	$=$	$2 xx (color(royalblue)(text(10)) xx color(green)(text(2)) + color(orange)(text(2)) xx color(green)(text(2)) + color(royalblue)(text(10)) xx color(orange)(text(2)))$	Plug in the known lengths

	$=$	$88$	Simplify

	$=$	$88 \ m^2$

$V$	$=$	$color(darkviolet)(s)^3$	Volume of a cube formula

	$=$	$color(darkviolet)(3)^3$	Plug in the known lengths

	$=$	$27$	Simplify

	$=$	$27 \ cm^3$

$V$	$=$	$1/3 xx pi xx color(royalblue)(\text(radius)^2) xx color(darkviolet)(\text(height))$	Volume of a cone formula

	$=$	$1/3 xx 3.14 xx color(royalblue)(3^2) xx color(darkviolet)(8)$	Plug in the known lengths

	$=$	$1/3 xx 3.14 xx 9 xx 8$	Simplify
	$=$	$75.36 \ mm^3$

$V$	$=$	$4/3 xx pi xx color(royalblue)(\text(radius)^3)$	Volume of a sphere formula

	$=$	$4/3 xx 3.14 xx color(royalblue)(8^3)$	Plug in the known lengths

	$=$	$4/3 xx 3.14 xx 512$	Simplify

	$=$	$2,143.57 \ cm^3$	Rounded to 2 decimal places

$SA$	$=$	$6 xx color(royalblue)(text(side))^2$	Surface area of a cube formula

	$=$	$6 xx color(royalblue)(text(11))^2$	Plug in the known lengths

	$=$	$6 xx 121$	Simplify
	$=$	$726$
	$=$	$726 \ mm^2$

$V$	$=$	$color(royalblue)(\text(height)) xx color(darkviolet)(\text(width))xx color(green)(\text(depth))$	Volume of a Rectangular Prism formula

	$=$	$color(royalblue)(\text(4)) xx color(darkviolet)(\text(12))xx color(green)(9)$	Plug in the known lengths

	$=$	$432$
	$=$	$432 \ cm^3$