Surface Area and Volume Mixed Review 4

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Question 1 of 5

1. Question

What is the volume of this Rectangular Pyramid?

Round your answer to

2

$2$ decimal places

Volume $=$ $=$ (498.67) $c m^{3}$ $cm^3$

Correct

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Incorrect

Volume of a Rectangular Pyramid

V = \frac{1}{3} \times length \times width \times height

$V=1/3 xx color(royalblue)(\text(length)) xx color(darkviolet)(\text(width))xx color(green)(\text(height))$

Labelling the given lengths

length = 11

$color(royalblue)(\text(length)=11)$

width = 8

$color(darkviolet)(\text(width)=8)$

height = 17

$color(green)(\text(height)=17)$

Use the formula to find the volume

$V$ $V$	$=$ $=$	$\frac{1}{3} \times length \times width \times height$ $1/3 xx color(royalblue)(\text(length)) xx color(darkviolet)(\text(width))xx color(green)(\text(height))$	Volume of a Rectangular Pyramid formula

	$=$ $=$	$\frac{1}{3} \times 11 \times 8 \times 17$ $1/3 xx color(royalblue)(\text(11)) xx color(darkviolet)(\text(8))xx color(green)(\text(17))$	Plug in the known lengths

	$=$ $=$	$498.66667$ $498.66667$
	$=$ $=$	$498.67 c m^{3}$ $498.67 \ cm^3$

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

Volume

= 498.67 c m^{3}

$=498.67 \ cm^3$

Question 2 of 5

2. Question

What is the volume of this Rectangular Pyramid?

Volume $=$ $=$ (300) $m^{3}$ $m^3$

Correct

Keep Going!

Incorrect

Volume of a Rectangular Pyramid

V = \frac{1}{3} \times length \times width \times height

$V=1/3 xx color(royalblue)(\text(length)) xx color(darkviolet)(\text(width))xx color(green)(\text(height))$

Labelling the given lengths

length = 10

$color(royalblue)(\text(length)=10)$

width = 6

$color(darkviolet)(\text(width)=6)$

height = 15

$color(green)(\text(height)=15)$

Use the formula to find the volume

$V$ $V$	$=$ $=$	$\frac{1}{3} \times length \times width \times height$ $1/3 xx color(royalblue)(\text(length)) xx color(darkviolet)(\text(width))xx color(green)(\text(height))$	Volume of a Rectangular Pyramid formula

	$=$	$1/3 xx color(royalblue)(\text(10)) xx color(darkviolet)(\text(6))xx color(green)(\text(15))$	Plug in the known lengths

	$=$	$300$
	$=$	$300 \ m^3$

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

Volume

$=300 \ m^3$

Question 3 of 5

3. Question

What is the volume of this sphere?

Round your answer to

$2$ decimal places

Use

$pi~~3.14$

Volume $=$ (11488.21) $cm^3$

Correct

Keep Going!

Incorrect

Volume of a Cone

$V=4/3 xx pi xx color(royalblue)(\text(radius)^3)$

Labelling the given lengths

$color(royalblue)(\text(radius)=14)$

Use the formula to find the volume

$pi~~3.14$

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

	$=$	$4/3 xx 3.14 xx color(royalblue)(14^3)$	Plug in the known lengths

	$=$	$4/3 xx 3.14 xx 2744$	Simplify

	$=$	$11,488.21 \ cm^3$	Rounded to 2 decimal places

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

Volume

$=11,488.21 \ cm^3$

Question 4 of 5

4. Question

What is the volume of this sphere?

Round your answer to

$2$ decimal places

Use

$pi~~3.14$

Volume $=$ (3052.08) $m^3$

Correct

Keep Going!

Incorrect

Volume of a Cone

$V=4/3 xx pi xx color(royalblue)(\text(radius)^3)$

Labelling the given lengths

$color(royalblue)(\text(radius)=9)$

Use the formula to find the volume

$pi~~3.14$

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

	$=$	$4/3 xx 3.14 xx color(royalblue)(9^3)$	Plug in the known lengths

	$=$	$4/3 xx 3.14 xx 729$	Simplify

	$=$	$3,052.08 \ m^3$	Rounded to 2 decimal places

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

Volume

$=3,052.08 \ m^3$

Question 5 of 5

5. Question

What is the volume of this cylinder?

Round your answer to

$2$ decimal places

Use

$pi~~3.14$

Volume $=$ (10851.84) $mm^3$

Correct

Keep Going!

Incorrect

Volume of a Cylinder

$V=pi xx color(royalblue)(\text(radius)^2) xx color(darkviolet)(\text(height))$

Labelling the given lengths

$color(darkviolet)(\text(height)=24)$

$color(royalblue)(\text(radius)=12)$

Use the formula to find the volume

$pi~~3.14$

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

	$=$	$3.14 xx color(royalblue)(12^2) xx color(darkviolet)(24)$	Plug in the known lengths

	$=$	$3.14 xx 144 xx 24$	Simplify

	$=$	$10,851.84 \ mm^3$	Rounded to 2 decimal places

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

Volume

$=10,851.84 \ mm^3$

Quizzes

Volume of Shapes 1
Volume of Shapes 2
Volume of Shapes 3
Volume of Shapes 4
Volume of Composite Shapes 1
Volume of Composite Shapes 2
Surface Area of Shapes 1
Surface Area of Shapes 2
Surface Area of Shapes 3
Surface Area and Volume Mixed Review 1
Surface Area and Volume Mixed Review 2
Surface Area and Volume Mixed Review 3
Surface Area and Volume Mixed Review 4