This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
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Here are the volumes for each pyramid: a) Step 1: Calculate the area of the square base. The base is a square with side length 8 cm. Base Area = side × side = 8 cm × 8 cm = 64 cm^2 Step 2: Calculate the volume of the pyramid. The height of the pyramid is 10 cm. Volume = (1)/(3) × Base Area × height Volume = (1)/(3) × 64 cm^2 × 10 cm Volume = (640)/(3) cm^3 ≈ 213.33 cm^3 The volume of pyramid (a) is 213.33 cm^3. b) Step 1: Calculate the area of the rectangular base. The base is a rectangle with length 8 cm and width 6 cm. Base Area = length × width = 8 cm × 6 cm = 48 cm^2 Step 2: Calculate the volume of the pyramid. The height of the pyramid is 6 cm. Volume = (1)/(3) × Base Area × height Volume = (1)/(3) × 48 cm^2 × 6 cm Volume = 16 cm^2 × 6 cm = 96 cm^3 The volume of pyramid (b) is 96 cm^3. c) Step 1: Calculate the area of the triangular base. The base is a right-angled triangle with base 4 cm and height 6 cm. Base Area = (1)/(2) × base × height = (1)/(2) × 4 cm × 6 cm = 12 cm^2 Step 2: Calculate the volume of the pyramid. The height of the pyramid is 5 cm. Volume = (1)/(3) × Base Area × height Volume = (1)/(3) × 12 cm^2 × 5 cm Volume = 4 cm^2 × 5 cm = 20 cm^3 The volume of pyramid (c) is 20 cm^3. That's 2 down. 3 left today — send the next one.