Question

to find the volume of a rectangular prism, multiply the length by the width by the height.$v = l \times w \times hLXB0v = 180\\ \text{cm}^3$calculate the volume of each rectangular prism. be sure to include units in your answer.a.1 mm4 mm2 mm$v =$b.8 m6 m8 m$v =$c.3 km3 km3 km$v =$d.5 cm5 cm3 cm$v =$e.5 mm10 mm4 mm$v =$f.2 m12 m2 m$v =$g.1 km7 km7 km$v =$h.6 cm4 cm4 cm$v =$i.10 m10 m10 m$v =$

Explanation:

Step1: Apply volume formula to a

$V = 4\ \text{mm} \times 2\ \text{mm} \times 1\ \text{mm}$

Step2: Calculate volume for a

$V = 8\ \text{mm}^3$

Step3: Apply volume formula to b

$V = 6\ \text{m} \times 8\ \text{m} \times 8\ \text{m}$

Step4: Calculate volume for b

$V = 384\ \text{m}^3$

Step5: Apply volume formula to c

$V = 3\ \text{km} \times 3\ \text{km} \times 3\ \text{km}$

Step6: Calculate volume for c

$V = 27\ \text{km}^3$

Step7: Apply volume formula to d

$V = 5\ \text{cm} \times 3\ \text{cm} \times 5\ \text{cm}$

Step8: Calculate volume for d

$V = 75\ \text{cm}^3$

Step9: Apply volume formula to e

$V = 10\ \text{mm} \times 4\ \text{mm} \times 5\ \text{mm}$

Step10: Calculate volume for e

$V = 200\ \text{mm}^3$

Step11: Apply volume formula to f

$V = 2\ \text{m} \times 2\ \text{m} \times 12\ \text{m}$

Step12: Calculate volume for f

$V = 48\ \text{m}^3$

Step13: Apply volume formula to g

$V = 7\ \text{km} \times 7\ \text{km} \times 1\ \text{km}$

Step14: Calculate volume for g

$V = 49\ \text{km}^3$

Step15: Apply volume formula to h

$V = 4\ \text{cm} \times 4\ \text{cm} \times 6\ \text{cm}$

Step16: Calculate volume for h

$V = 96\ \text{cm}^3$

Step17: Apply volume formula to i

$V = 10\ \text{m} \times 10\ \text{m} \times 10\ \text{m}$

Step18: Calculate volume for i

$V = 1000\ \text{m}^3$

Answer:

a. $V = 8\ \text{mm}^3$
b. $V = 384\ \text{m}^3$
c. $V = 27\ \text{km}^3$
d. $V = 75\ \text{cm}^3$
e. $V = 200\ \text{mm}^3$
f. $V = 48\ \text{m}^3$
g. $V = 49\ \text{km}^3$
h. $V = 96\ \text{cm}^3$
i. $V = 1000\ \text{m}^3$