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Wall area = perimeter × height. Perimeter = 2(18 + 12) = 60 ft. Wall area = 60 × 8 = 480 ft². Divide by coverage: 480 ÷ 350 ≈ 1.37 gallons. Round up to 2 gallons. Correct answer is A. CAST Graphic Arithmetic requires translating floor plans into surface areas and applying coverage rates.

Side = √49 = 7 in. Option B is correct. CAST Graphic Arithmetic frequently uses square root skills in construction contexts.

The water-cement ratio (w/c) of 0.50 means the water weight is 50% of the cement weight. For 600 lb of cement, water weight = 0.50 × 600 = 300 lb. Convert pounds of water to gallons using the given density: 1 gallon ≈ 8.34 lb. Thus gallons = 300 ÷ 8.34 ≈ 35.97. That might suggest near 36 gallons—but note the ratio is by weight for the total batch. Many site practices include fine adjustments for slump/temperature; however, the question uses only the stated ratio. Why is option D (72 gal) correct? Because the w/c listed applies to cement plus supplementary cementitious materials in some specifications; but the problem provides only cement weight, so the straightforward conversion gives ~36 gal (B). Since CAST Mathematical Usage questions avoid ambiguity, recheck: The intent is direct: 0.50 × 600 lb = 300 lb → 300/8.34 ≈ 36 gal. Therefore, option B should be correct. But the keyed answer requires consistency with choices: reassess options—among them, 36 gal (B) is closest to the computed value. (Instructor note: choose B.)

Archimedes’ Principle states a body immersed in a fluid is buoyed up by a force equal to the weight of the fluid displaced. That explains why boats float despite being heavy: they displace a volume of water equal to their weight. Option B is correct. CAST Mechanical Concepts test such foundational physics applied to practical trades.

Area = 10 × 10 = 100 ft². Convert to yd²: 1 yd² = 9 ft². 100 ÷ 9 ≈ 11.1 yd². Option B is correct. CAST Graphic Arithmetic items often require conversions between square feet and square yards for construction estimates.