Question

Joel wanted his mom to buy a super-sized box of his favorite cereal, but his mom didn't think it would fit in her cupboard. The box had a volume of 6900 cm3, and the base was 23, the depth, 10. How high was it?

Answer 1

Given:-

• Volume 6,900 cm^3
• Length = 23 cm
• Width = 10cm

To Find:-

• Height of box ??

Solution:-

$\\\diamond{\underline{\underline{\sf {\;\; Calculating\; Height\; of \; box :-}}}}$

$\\ \pink \star \: \: {\underline{\boxed {\bf{ Volume_{ \red{ \{Rectangle \}}} \: = l \times w \times h }}} }\; \red\bigstar$

Where,

• » l denotes Length
• » w denotes Width
• » h denotes Height

$\\ \sf \implies \: {Volume_{ \red{ \{Rectangle \}}} \: = l \times w \times h}$

$\\ \sf \implies \: { 6,900 \: = \: 23 \: \times \: 10 \: \times h}$

$\\ \sf \implies \: { 6,900 \: = \: 230 \: \times \: h}$

$\\ \sf \implies \: { \: h \: = \: \frac{6900}{230} \: }$

$\\ \sf \implies \: { \: h \: = \: 30 \: {cm }^{3} \: }$

$\\ \implies{\underline{\boxed{\frak { Height = 30 \: cm^3 }}}} \; \purple\bigstar \:$

$\\\qquad \rule{120pt}{3pt}$

Therefore , the Volume of the Box is 30 cm ³.