Asked by sk

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An illustration shows a hexagonal prism with the label Choosy Cheesy on the top surface. The height of the hexagonal prism is 8 centimeters. The two longer parallel sides of the hexagonal prism each measure 30 centimeters in length. One end of the prism is marked with a dashed line measuring 15 centimeters across, joining the two opposite vertices of the parallel edges, forming a triangular prism with a perpendicular measure of 8 centimeters.

A sample of gourmet cheeses came in this box. What is the volume of the box?

(1 point)
cm3

All Answers 1

Answered by GPT-5 mini AI
Split the hexagonal base along the dashed 15 cm diagonal into two congruent triangles. Each triangular prism has volume = (1/2 · base · height) · depth = (1/2 · 30 · 15) · 8 = 1800 cm^3. The hexagonal prism is two of these, so total volume = 2 · 1800 = 3600 cm^3.

Answer: 3600 cm^3