Question

Choose the two rectangular prisms that have a volume of 36 cm”.
= 1 cm3
A.
D.
B.
E.
C.

Answer 1

Answer:

B & D

Step-by-step explanation:

Volume is calculated as:

$Volume = Length * Width * Height$

For (a):

$Length = 3cm$

$Width = 4cm$

$Height = 5cm$

$Volume = 3cm * 4cm * 5cm$

$Volume = 60cm^3$

For (b):

$Length = 3cm$

$Width = 4cm$

$Height = 3cm$

$Volume = 3cm * 4cm * 3cm$

$Volume = 36cm^3$

For (c):

$Length = 4cm$

$Width = 2cm$

$Height = 2cm$

$Volume = 4cm * 2cm * 2cm$

$Volume = 16cm^3$

For (d):

$Length = 2cm$

$Width = 3cm$

$Height = 6cm$

$Volume = 2cm * 3cm * 6cm$

$Volume = 36cm^3$

There's no need to check for (e)

Option b and d answers the question

Answer 2

Using the volume of a rectangular prism to examine the volumes of the prism, the two prisms with a volume of 36cm³ are B and D

Recall :

• Volume of a rectanglular prism = Length × width × Height

Prism A :

• Length = 3cm ; Height = 5cm ; Width = 4cm

Volume = 3cm × 5cm × 4cm = 60 cm³

Prism B :

• Length = 3cm ; Height = 3cm ; Width = 4cm

Volume = 3cm × 3cm × 4cm = 36 cm³

Prism C :

• Length = 4cm ; Height = 3cm ; Width = 2cm

Volume = 4cm × 3cm × 2cm = 24 cm³

Prism D :

• Length = 2cm ; Height = 6cm ; Width = 3cm

Volume = 2cm × 6cm × 3cm = 36 cm³

Prism E :

• Length = 3cm ; Height = 5cm ; Width = 4cm

Volume = 4cm × 2cm × 2cm = 16 cm³

Hence, the two rectangular prisms with a volume of 36cm³ are B and D.

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