Question

A cereal company wants to change the shape of its cereal box includes to attract the attention of the shippers the original cereal box has dimension of 8cm by 3cm by 11cm. The new box, the cereal company thinking of would have dimension of 10cm by 10cm by 3cm.

A)which box holds more cereal
B)which box requires more material to make​

Answer 1

Answer:A) To determine which box holds more cereal, we can calculate the volume of each box.

The original box has dimensions of 8cm by 3cm by 11cm, so its volume is:

Volume of original box = 8cm * 3cm * 11cm = 264 cm³

The new box has dimensions of 10cm by 10cm by 3cm, so its volume is:

Volume of new box = 10cm * 10cm * 3cm = 300 cm³

Therefore, the new box holds more cereal, as it has a larger volume of 300 cm³ compared to the original box's volume of 264 cm³.

B) To determine which box requires more material to make, we can calculate the surface area of each box.

The original box has dimensions of 8cm by 3cm by 11cm, so its surface area is:

Surface area of original box = 2(8cm * 3cm) + 2(8cm * 11cm) + 2(3cm * 11cm) = 330 cm²

The new box has dimensions of 10cm by 10cm by 3cm, so its surface area is:

Surface area of new box = 2(10cm * 10cm) + 2(10cm * 3cm) + 2(10cm * 3cm) = 340 cm²

Therefore, the new box requires more material to make, as it has a larger surface area of 340 cm² compared to the original box's surface area of 330 cm².

Explanation: